A rope is lying on a table with one of its end at point o End B slides along the floor. The amount of mass any small segment has depends on how long this segment is. A 2. Which force makes the block on the table accelerate, the tension in the string or the weight of the hanging block? Sep 15, 2025 · 1. Tension in the string at a A uniform rope of length L, resting on a friction less horizontal surface is pulled at one end by a force F, What is the tension of the rope at a distance I from the end where the force is applied. A meter stick AB is lying on a horizontal table. A massless rope passes round the pulley and has masses and tied to its ends, the two portions of the string being perpendicular to the edge of the table so that the masses hang vertically. The tension in the rope at a distance x from the free and is end (1) mxgsin o " (2) ** (gsin 0+a) (3) mg sin 0 + ma 1- (4) Zero A string of length L and mass is lying on horizontal table. The other end of the rope is fixed at point Q, at a height L above the hinge at point O. A horizontal force acts on one end of the rope. The coefficient of friction between the weight and the table is μ. 6 m from the other end? 2. The rungs of the ladder are 1 metre apart and the tide is rising at 50 centimetres an hour. 0m rope is lying on a table. m Answer to: A string of length L and mass M is lying on a horizontal table. SOLVED: A block of mass 10 kg lying on a smooth horizontal surface is being pulled by means of a rope of mass 2 kg. 50 m O 0. 6 m from the other end? May 21, 2023 · One end of a horizontal uniform beam of weight w and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. 6 m from the other end? A rope of length 10 m and linear mass density 4 kg/m is lying lengthwise on a horizontal smooth table. Ignore all friction. Nov 6, 2017 · A rod is lying on top of a table, with one end hinged to allow free rotation on the tabletop. Mar 17, 2023 · A 2. 0 m rope is lying on a table. 0 m O 1. The work done in pulling the hanging part on to the table is 9 mins ago Discuss this question LIVE 9 mins ago One destination to cover all your homework and assignment needs Learn Practice Revision Succeed Instant 1:1 Jan 16, 2022 · Question A monkey of mass m clings to a rope slung over a fixed pulley. A string of length L and mass is lying on horizontal table. So, the length of the half of the chain is L 2 , as well as its mass is M 2. 25m (e) 0. Mar 17, 2023 · The question deals with a 2. A smooth rope is placed above a hole in a table (Figure 9-D). Tension is the same at any point of a string, chain or rope. 33 N B. How much work is required to raise one end of the rope to a height of 2 meters? Falling rope A rope of length L lies in a straight line on a frictionless table, except for a very small piece at one end which hangs down through a hole in the table. How high above the table is the center of gravity of the rope when half of the rope has lifted off the table? A rope of length 10 m and linear mass density 4 kg/m is lying lengthwise on a horizontal smooth table. Tension in the string at a distance x from the ends at which force is applied is Mar 25, 2021 · (a) If you lift one end of the rope upward with a constant speed, v, show that the rope's center of mass moves upward with constant accelenation. Find the acceleration of weight and the tension of the rope for two cases. 9-15. This end of the rope is pulled to the right with a constant acceleration starting from rest. Tension in the string at a distance x from the ends at which force is applied is A 5 meter rope is lying on the floor and has has weight of 40 N in total. Find FIGURE 9-D Problem 9-15. What is the maximum magnitude of for which the door will remain at rest? A rope is lying on a table. At the end of 6 hours, how many of the rungs will be covered?:confused: Step by step video, text & image solution for A heap of rope is lying on a horizontal surface. The tension in the middle of the rope is: A uniform rope of length L is lying in a lump on a frictionless table . How high above the table is the center of mass of the rope when half of the rope has lifted off the table Apr 1, 2025 · A rope of length 4m having mass 1. 2N d. Answer5. 67 Sep 15, 2025 · 1. 0 m E) 1. The normal force exerted by the table A rope of length 4 m having mass density 1. 092kg ball is attached to one end of a rod of length 0. there is no sag). A rope is lying on the floor and has a mass which applies a force of 3 N/m. (a) If you lift one end of the rope upward with a constant speed, v, show that the rope's center of mass moves upward with constant accelenation. View Solution Q 5 - With a massless rope, the tension at one end of a rope can be different than the tension at the other end of the rope. A uniform rope of length L is lying in a lump on a frictionless table . 0 N. Find the tension at point P where the straightened part of the rope meets the heap. 6N Views: 5,187 students Updated on: Apr 1, 2025 Jul 20, 2022 · The tension T (x P) at a point P in rope lying a distance x from one the left end of the rope, is the magnitude of the action -reaction pair of forces acting at the point P , A string of length L and mass M is lying on a horizontal table. What is the speed of the rope at the instant it loses contact with the table? To solve the problem step by step, we will analyze the forces acting on the rope and use the concept of friction to find the coefficient of friction between the rope and the table. One end of a rope is tied to the handle of a horizontally-oriented and uniform door. Step 4/54. The speed of the end Nov 11, 2014 · Homework Statement A uniform rope of length L lies in a lump on a frictionless table. The door has a weight of 145 N and is hinged on the right. One end of the rope falls through the hole at t=0, pulling steadily on the remainder of the rope. A horizontal pulling force F is acting at one end of rope. The left end of the rope is lifted as indicated in the picture below. Then find the acceleration of the falling rope and the mechanical energy lost from the rope Oct 3, 2022 · A rope was on top of a table with a part of it hanging off the edge, without any friction. Mass per unit length of the rope is λ. A uniform rope of mass M and length L is fixed at its upper end vertically from a rigid support. 5m (d) 0. Its end A is pulled up so as to move it with a constant velocity `V_ (A) = 4ms^ ( 1)` along a vertical line. 5 k g per metre lying on a horizontal friction less surface is pulled at one end by a force of 12 N. Find the work required to pull the hanging part over the tabls. Feb 21, 2020 · Q3) The rope has a mass m' per unit length. 57. 25 m O 0. 0 N and acts at an unknown angle relative to the rod. That is what a catenary is by definition. Study with Quizlet and memorize flashcards containing terms like Bight, Crossing Point, Elbow and more. 2. Feb 16, 2018 · The rope is continuous and of uniform density. Which of the following is an action-reaction pair (from Newton's third law)?, Josh punches his open left hand with his right hand. A uniform rope of length l is lying in a lump on a frictionless table. If the end length y = h is draped off the edge of the table, and released, determine the velocity of its end A for any position y, as the rope uncoils and begins to fall. - The length of the hanging part is 25% of the total length of the rope. 4. The other force is 55. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of mass m 2 is suspended. You pick up one end and start raising it with a cons • • Top Posters Since Sunday k 1 HomeQ & A BoardScience-Related Homework HelpPhysics Print New Topic To form a pendulum, a 0. One force is directed perpendicular to the rod and has a magnitude of 31N. 8N c. e A rope of length 10 m and linear mass density 4 kg/m is lying lengthwise on a horizontal smooth table. The angle between ceiling and the rope is 60°. Find the tension at point P where the straightened part One end of a uniform rope is fixed to the block which is pulled in the horizontal direction by applying a force F at the other end. 7. So, the length of the rope= x + 3 chi. 50m (b) 1. A smooth rope is placed above a hole in a table (see Figure). Then, assuming that the sag is negligible, find (b) the acceleration of rope and block, (c) the force on the block from the rope,and (d) the tension in the rope at its midpoint. 0 m, if half of the rope is lifted, that equals 1. A fishing boat is lying in the harbour. One end of the rod is hinged to the table so that the rod can rotate freely on the table top. 75 m D) 1. When the ball reaches its lowest point, what are (a) its speed and (b) the tension in the rod? Next, the rod is rotated until it is A uniform rope of mass M and length L is placed on a smooth horizontal surface. 24 N D. What is the tension in the rope at a point 1. 0-m rope is lying on a table. Aug 29, 2020 · the reason you can use a single momentum is because the problem is equivalent to one in which the rope is straight but the force acts only on the part of the rope that does not touch the table A 2. how high above the table is the center of mass of the rope when half of the rope has lifted off the table? There are 2 steps to solve this one. When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle. Since the rope length is 2. A small part of the rope is held hanging through a hole in the table just below the lump. One end of the rope falls through the hole at t = 0, pulling steadily on the remainder of the rope. a small part of rope is held hanging through a hole in the table just below the lump . Find the velocity of the rope as a function of the distance to the end of the rope, x. 1 Rolling Without Slipping When a round, symmetric rigid body (like a uniform cylinder or sphere) of radius R rolls without slipping on a horizontal surface, the distance though which its center travels (when the wheel turns by an angle θ) is the same as the arc length through which a point on the edge moves: ∆xCM = s = Rθ A rod is lying on the top of a table. Study with Quizlet and memorize flashcards containing terms like A force is required to keep an object moving in a straight line. The opposite end of the rope is tried to a weight of mass M lying on a horizontal table. If a force of 36N is applied at the end of the rope, the tension at the mid point of the rope is: 33 N 30 N 24 N 12 N A 2. 25 m B) 0. One end of the rope is pulled horizontally by a force of 40 N. Ignore friction of the rope as it unwinds. This allows us to calculate the potential energy and track the motion of the rope. how high above the table is the center of mass of the rope when half of the rope has lifted off the table? A 2. A force F is applied at one of its ends. A 5 meter rope is lying on the floor and has has weight of 40 N in total. The work done in pulling the hanging part on to the table is 9 mins ago Discuss this question LIVE 9 mins ago One destination to cover all your homework and assignment needs Learn Practice Revision Succeed Instant 1:1 Dec 15, 2024 · A rod is lying on the top of a table. A block is kept at the centre of the table cloth. 5 N and is directed at an angle θ with respect to the rod. One rope is horizontally attached to a wall and the other is fastened to the ceiling. The book will remain there at rest because: and more. If g is the acceleration due to gravity, the work done to pull the hanging part on the table is? 57. A uniform rope of length L is lying in a lump on a frictionless table. The cloth is pulled at a constant speed V 0. Aug 29, 2020 · In Kleppner's Mechanics, there is a problem given as A rope of mass $M$ and length $l$ lies on a frictionless table, with a short portion, $l_0$, hanging through a hole. 75m You lift one end of the rope by hand vertically upward at constant speed u 0. A force F is applied at one of its end. 2\sqrt {} (gl/3) C. the system is then released . 8 N. A rope of length 10 m and linear mass density 4 kg/m is lying lengthwise on a horizontal smooth table. One force is directed perpendicular to the rod and has a magnitude of 40 N. As the mass of the whole chain is ′ M ′ and the length of the chain is ′ L ′. How high above the table is the center of mass (or center of gravity) of the rope when half of the rope has lifted off the table? To find the time required by the complete rope to travel past point O, use the kinematic equation s = 1 2 a t 2 with the initial velocity u = 0 to establish an equation for the length of the rope L. If a force of 36N is applied at the end of the rope, the tension at the mid point of the rope is: A. Let AB represents the pole in the figure, and one end of the rope is at point A. How much force the A uniform chain of length L has one of its end attached to the wall at point A, while 3L 4 of the length of the chain is lying on table as shown in figure. 0 N and acts perpendicular to the rod. How high above the table is the center of mass (or center of gravity) of the rope when half of the rope has lifted off the table? (a) 0. 02, 2021 11:05 p. e. m. You pick up one end and start raising it vertically. One end of the rod is hinged to the table so that the rod can rotate freely on the tabletop. A piece of uniform string hangs vertically so that it's free end touches the horizontal surface of a table,If now the upper end if the spring is released,show that at any instant during the falling of the string,the total force on the surface is three times the weight of that part if the string lying on the surface. The system is then released . A rope is lying on a table with one of its end at point O on the table. A man pulls the end of the table cloth horizontally so as to take it off the table. MadAsMaths :: Mathematics Resources A uniform rope of length L and mass M lying on a smooth table is pulled by a constant force F. What is the speed of the other end of Oct 7, 2021 · At the other end of the string (x = L), the tension should be zero because there is no mass being pulled by the force at that point. Assume that the heap does not move and the moving part of the rope remains straight and horizontal (i. How much work is required to raise one end of the rope to a height of 3 meters? Work = N. The system is then released. How high above the table is the center of mass of the rope when half of the rope has lifted off the table? Apr 5, 2015 · If the rope is hanging on the edge of the table, the rope should not be able to make a drastic 90 degree turn. You pick up one end and start raising it with a constant velocity. A block of mass 10 kg lying on a smooth horizontal surface is being pulled by means of a rope of mass 2 kg. Homework Equations To form a pendulum, a ball is attached to one end of a rod of length and negligible mass, and the other end of the rod is mounted on a pivot. The speed of the upper end of the rope as it leaves the hole is ?? A heap of rope is lying on a horizontal surface. The speed of the upper end of the rope as it leaves the hole is ?? A long, straight rope lying on a floor is pulled along its length with uniform acceleration along its length. A force is applied to the other end of the rope as shown in the drawing. Jul 21, 2023 · Step by step video, text & image solution for A rope is lying on a table with one of its end at point O on the table. At exactly the center you either have a segment of zero length and hence no mass and weight, or a segment of finite length, but with its ends curved up every so slightly providing just enough vertical force to support the weight. \sqrt {}2 (gl/3) View Solution Q 5 A rope of length 10 m and linear mass density 4 kg/m is lying lengthwise on a horizontal smooth table. 1. 0m (c) 1. Two forces, both parallel to the tabletop, act on the rod at the same point: The first force is perpendicular to the rod and has a magnitude of 37. How much work is required to lift up one end of the rope to height of 3 meters? Work Submitted by Ronald M. How high above the table is the center of mass (or center of gravity) of the rope when half of the rope has lifted off the table? O 0. How high above the table is the center of mass (or center of gravity) of the rope when half of the rope has lifted off the table? a 2. One end of the rope falls through the hole at t = 0, t = 0, pulling steadily on the remainder of the rope. One key idea is to consider the motion of the center of mass of each one of the two sections of the rope, namely, the one laying on the table and the second one hanging at the edge of the table. One force is 38. A smooth rope of length L and mass m is placed above a hole in a table. If the mass of the rope is half the mass of the block, the tension in the middle of the rope will be Jan 26, 2019 · A uniform rope of mass per unit length $\\lambda$, length $\\ell$ is attached to shaft that is rotating at constant angular velocity $\\omega$. 0 m of rope raised. The coefficient of kinetic friction between the block and the table is μ k. Question: A rope is lying on the floor and has a mass which applies a force of 4 4 N/m. The second force has a magnitude of 56. Two forces act at the same point on the rod, parallel to the tabletop. Mass per unit length of the rope is 2. 5 kg/m lying on a horizontal frictionless surface is pulled at one end by a force of 12 N. The second force has a magnitude of 61 N and is directed at an angle θ with respect to the rod. How high above the table is the center of mass of the rope when half of the rope has lifted off the table? A) 0. 75 m 1. Find the force that you must apply to the rope when the end is a distance a above the table (a < b). When the block B is sliding on the table, the tension in string is Jan 9, 2024 · A uniform rope of length ' L ' and linear density ' μ ' is on a smooth horizontal table with a length ' f ' lying on the table. Two blocks, one sitting on a table and the other heavier one hanging over its edge, are connected by a light string as shown in the figure. 5. Nov 8, 2011 · Homework Statement A uniform rope of mass λ per unit length is coiled on a smooth horizontal table. Find the tension in the rope as a function of distance A block A of mass m 1 rests on a horizontal table. 5N b. a very small piece at one end is held hanging down through a hole in the table just below the lump. This piece is released, and the rope slides down through the hole. Two forces,both parallel to the table top,act on the rod at the same place. 6 m from the other end? One end of a uniform rope of mass m 3 is fixed to the block, which is pulled in the horizontal direction by applying force F at the other end. What is the speed of the other end of A rope of length 4 m having mass density 1. How much work is required to lift one end of the rope to a height of 3 meters? A rope of length 4 m having mass 1. y = h A Recommended Videos A uniform rope of length L and mass M rests on a table. Jul 5, 2022 · A rope is lying on the floor and has a mass which applies a force of 5 N/m. 19 Coil of rope uniform rope of mass density per unit length is coiled on a smooth horizontal table. Tension in the string at a distance y from the end at which the force applied is: A rope of length 4 m having mass density 1. 0 m rope is lying ona table. Mass per unit length of the rope is lamda. One end is pulled straight up with constant speed v0 Find the force exerted on the end of the rope as a function of height y and find the power delivered to the rope. The pully makes the lifted part of the rope perpendicular to the floor and there is no friction between the rope and the floor. - With a massless rope, the tension in the center of the rope is the same as the tension at the end of the rope. 1 Rolling Without Slipping When a round, symmetric rigid body (like a uniform cylinder or sphere) of radius R rolls without slipping on a horizontal surface, the distance though which its center travels (when the wheel turns by an angle θ) is the same as the arc length through which a point on the edge moves: ∆xCM = s = Rθ Complete step by step answer: As per the question, half part of a uniform chain is lying on the table and the other half part is hanging vertically downward from the edge of the table. , A book is lying at rest on a table. One end of the rope falls through the hole at t = the velocity and acceleration of the rope as a function of the distance to the end of the rope x. Two forces, both parallel to the tabletop, act on the rod at the same place. What is the tension in newtons in the rope at a point 1. . If the sum of A rope of length 10 m and linear mass density 4 kg/m is lying lengthwise on a horizontal smooth table. 62m and negligible mass, and the other end of the rod is mounted on a pivot. (b) Next, suppose you hold the rope suspended in air, with its lower end just touching the table. One end of the rope falls through the hole, pulling steadily on the remainder of the rope. A small part of the rope is held hanging through a hole in the table just below the lump . A table cloth of length L is lying on a table with one of its end at the edge of the table. If g is acceleration due to gravity, work A straight rope of length 'L' is kept on a frictionless horizontal surface and a force 'F' is applied to one end of the rope in the direction of its length and away from that end. 5 kg / m lying on a horizontal frictionless surface is pulled at one end by a force of 12 N. How high above the table is the center of mass (or center of gravity) of the rope when half of the rope has lifted off the table? Jan 10, 2014 · Homework Statement A (smooth) rope of length L and mass m is placed above a hole in a table. A block of weight αw is attached at the point P of the beam, as shown in the figure (not to 2. So, the tension in the string should be a linear function of the distance x from the end where the force is applied, and it should decrease as x increases. (a) Show that the rope must sag, even if only by an imperceptible amount. 6 m from the other end? A rod is lying on the top of a table. \sqrt {} (2gl) B. 0-meter rope is lying on a table. What can you say about the coefficient of friction between the block and the cloth if the block remains on the table (i. ? Sep 4, 2024 · Q4 A monkey of mass m clings to a rope slung over a fixed pulley. 5 m Textbook A 2. The speed of the upper end of the rope as it leaves the hole is ?? Jul 23, 2014 · Example Problem: A block of weight w is suspended from a rope tied to two other ropes at point O. you pick up one end and start raising it. along a frictionless inclined plane of inclination e with horizontal such that it moves with acceleration a. 5kg/m lying on a horizontal frictionless surface is pulled at one end by a force of 12N. One force is directed perpendicular to the rod and has a magnitude of 38. 6 m from the other end? 22. What are the tensions in each of the ropes? Assume the weights of the ropes and the knot are negligible. The minimum co-efficient of friction between table and chain so that chain remains in equilibrium is View Solution Q 2 Aug 17, 2025 · Example 17 A uniform chain of length L and mass M is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. 5 m A string of length L and mass M is lying on horizontal table. Calculate tension in the rope at distance x as shown. you pick up one end and start raising it vertically. You pick up one end and start raising it vertically. Find the acceleration of the pulley. How high above the table is the center of mass (or center of gravity) of the rope when half of the rope has lifted off the table? Get your coupon Science Physics Physics questions and answers A 2. How high above the table is the center of mass (or center of gravity) of the rope when half of the rope has lifted off the table? A 2. 0, pulling steadily on the remainder of the rope. Fortunately, we need not worry about the horizontal motion of the rope, thus the piling situation is not relevant to the problem. A smooth pulley A of mass M 0 is lying on a frictionless table. 12 N We're recalculating the answer now 1% Jan 9, 2024 · A uniform rope of length ' L ' and linear density ' μ ' is on a smooth horizontal table with a length ' f ' lying on the table. A smooth rope is placed above a hole in a table (Figure 9 - D). 0-m rope and asks how high above the table the center of mass of the rope is when half of the rope has been lifted off the table. When the ball reaches its lowest point, what are (a) its speed and (b) the tension in the rod? Next, the rod is rotated A uniform rope of length L, resting on frictionless horizontal surface is pulled at one end by a force F. A uniform metal chain is placed on a rough table such that on end of chain hangs down over the edge of the table when one-third of its length hangs over the edge, the chain starts sliding, Then, the coefficient of static friction is? Jan 15, 2020 · A 5-meter rope is lying on the floor and has a total weight of 40 N. Define Variables: - Let the total A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. How much work is required to raise one end of the rope to a height of 3 3 meters? A smooth pulley A of mass M 0 is lying on a frictionless table. One free end A of the rope is pulled horizontally with a constant velocity v. A heap of rope is lying on a horizontal surface. 1. If the velocities of the front and back ends of the rope when it passes through a particular point on the floor are 2 m s^-1 and 4 m s^-1 respectively, the velocity of the midpoint of the rope when it passes through the same point is (in . A uniform rope of mass m and length L is pulled by applying force at one of the ends. The speed of the end of the rope as it leaves the hole is (a) 2gL (c) 32gL (b) 2 3gL (d) zero A rope of length 4 m having mass density 1. Which statement is true about the forces his two hands exert on each other?, A box rests on a table. Sep. Nov 9, 2020 · Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi. If the sum of the Jan 16, 2022 · Question A monkey of mass m clings to a rope slung over a fixed pulley. However, two ropes, chains or strings attached to an objet might have different tensions. Then the tension in the rope at the distance l from the rigid support is. Understand the Setup: - A uniform rope is lying on a table, and part of it is hanging off the edge. The equation of the motion is: \\begin{equation} \\frac{mgx}{L}=m \\frac{dx^2}{dt^2} \\to \\ddot{x}=\\frac{gx}{L How high above the table is the center of mass of the rope when half the rope has lifted off the table?2 a rope is lying on a table. Tension in the string at a distance x from the ends at which force is applied is A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. This system is released, and the rope slides down through the hole. Ignore friction of a 2 m rope is lying on a table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is [IIT 1985] Aug 1, 2025 · A rod is lying on top of a table, hinged at one end so it can rotate freely. 50 m C) 0. 6m from the other end?a. The speed of the end of the rope as it leaves the hole is (a) 2gL (c) 32gL (b) 2 3gL (d) zero Study with Quizlet and memorize flashcards containing terms like Consider a car driving at a constant speed on a level road. Then the tension T in the rope at a distance l from the end where the force F is applied is May 27, 2015 · 3) A 2. One end is pulled straight up with constant speed v0, as shown. 30 N C. The rod is rotated until it is straight up, and then it is released from rest so that it swings down around the pivot. the speed of the end of the rope as it leaves the hole is A. , An object receiving two equal and opposite vertical forces must be at rest. ms^-1) (a) 2 √ (2) (b) √ (10) (c) 3 (d) 2. What is the tension in the rope at a distance l from the end where the force is applied? Nov 22, 2021 · A rope of length 4 m having mass 1. The speed of the upper end of the rope as it leaves the hole is ?? A uniform chain of length l and mass m lying on a smooth table and one - sixth of its length is hanging vertically down over the edge of the table. There is a rope ladder hanging over the side with its end touching the water. The total length of the rope is L. The second force has a magnitude of 59 N and is directed at an angle with respect to the rod. csyj ldb ujqv fcgbs ahat hdswd gvvr lth abbk nnr hbgvs apldbvm kfrh busys xrskv