Two blocks of masses m and 2m are connected by a string of stiffness k. The blocks are kept on a smooth horizontal plane. if both are given velocity v in opposite directions, then the maximum elongation of Near the surface of Earth, two masses, m 1 = 1 kg and m 2 = 3 kg, are connected by a string of negligible mass. Jun 1, 2019 · Two blocks A and B of mass m and 2m respectively are connected by a massless spring of force constant k. The block m2 hangs from a fixed smooth pulley by an inextensible string that is fitted with a light spring of stiffness k as shown in fig. Mass m2 accelerates downwards at g/2 . Two blocks A and B of masses 2m and m, respectively are connected by a massless and inextensible string. Assume that the motion starts from rest. The blocks are pushed towards I'm trying to understand the solution of the following problem. The unstretched length of the spring is a. The masses are moving to the right with a uniform velocity vo each, the heavier mass leading the lighter one. . Oct 24, 2023 · Two blocks, with masses m and 2m, are connected to a light string and a spring with a spring constant k. The maximum extension in meters of the spring during subsequent motion is :- Two blocks of masses m1 and m2 are connected by a spring of stiffness k. 20 m. The spring in between them is of natural length during the motion. I want to find the natural frequencies of oscillation. One end of the spring is fixed, as shown in the figure. (a) Find the maximum force exerted. Updated on: 21/07/2023 Problem: Two masses a and b are on a horizontal surface. 4 0. Question: Two blocks, of masses M and 2M, are connected to a spring of spring constant k that has one end fixed, as shown in the figure. May 5, 2015 · In a scenario with two blocks of masses M and 2M on a frictionless surface, a compressed spring between them is released, causing the block of mass 2M to move with velocity v. What should be the initial compression of the spring so that the system will be about to break off the surface after releasing the block m1 ? Jul 5, 2019 · Two blocks, of masses M and 2M, are connected to a light spring of spring constant K that has one end fixed, as shown in figure. Two blocks A and B of mass `m` and `2m` are connected together by a light spring of stiffness `k - YouTube Q. The velocity of block Jul 21, 2023 · Step by step video & image solution for Two blocks of Masses M and 2M are connected by a spring of stiffness k . Mar. The string is lighta)Maximum extension in the spring is b)Maximum kinetic energy of the system is c)When kinetic Two block of masses m1 and m2 are in equilibrium. Jan 25, 2020 · Two blocks `A` and `B` of masses `m` and `2m` respectively are connected together by a light spring of stiffness `k` and then placed on a smooth horizontal surface. The horizontal surface and the pulley are . Here’s an exercise that might be useful if, perhaps, you wanted to construct a real system with two equal masses m and two equal springs, each of constant k, to demonstrate the vibrations. 1. M. The accelerations of the blocks are a1, a2 and a3 as shown in the figure. The system is released from rest with the spring in its unstretched state. Initially, everything is at rest and there is a string compressing the mass-spring system from equilibrium. Oct 30, 2023 · When two blocks with masses m and 2m are placed on a horizontal frictionless surface with a compressed spring between them, as the spring is released, the system as a whole does not gain or lose any external energy. The blocks are released from rest when the spring is deformed. Show that in that case, the angular frequency (which is, of course, 2 π times the actual frequency) of the slow, in phase, mode is Here you can find the meaning of Two blocks, of masses M and 2M, are connected to a light spring of spring constant K such that one end fixed, as shown in figure. at rest, the collision being completely inelastic. The block m2 hangs from a fixed smooth pulley by an inextensible string that is fitted with a light spring of stiffness k as shown in figure. The relative velocity of the blocks when the spring comes to its natural length is Submitted by Chris L. The ring moves vertically along a fixed rigid rod as shown in figure. At t=0 the bolck A has velocity u towards right as shown while the speed of block B is zero, and the length of spring is equal to its natural length at that at that instant. Aug 27, 2025 · The system consists of two blocks connected by a string over a smooth pulley on a smooth surface. At first, the blocks are at rest, and the spring is unstretched when a constant force F starts acting on the block of mass M to pull it. Two blocks A and B of mass m and 2m are connected together by a light spring of stiffness k. May 6, 2016 · 8 Suppose I have two masses $m_1, \ m_2$ connected by one spring of stiffness $k$ through their centres of mass, lying on a frictionless surface and the system is set into oscillation. Oct 6, 2022 · Two blocks of mass m and 2m connected by a weightless spring of stiffness k rest on a smooth horizontal plane. They are placed on a smooth horizontal surface. The blocks are released from rest when the spring is non-deformed. Two blocks of masses M_ (1) and M_ (2) are connected to each other through a light spring as shown in figure. Two blocks of masses m and 2m are connected by a light spring with stiffness k and are kept on a smooth horizontal surface. Two masses m1 and m2 are connected by a string over a frictionless pulley of negligible mass. Feb 5, 2022 · Two blocks of masses m_ (1) and m_ (2) are connected by a spring of stiffness k. (A) Maximum extension in the spring is 4mg/k. The horizontal surface and the pulley are frictionless, and the pulley has negligible mass. They are placed on a smooth horizontal plane. The block with mass m2 is rough, and the coefficient of static friction between the block and the plane Oct 9, 2021 · Question: Two masses $m_1$ and $m_2$, constrained to the $x$-axis, are coupled by a light spring of stiffness $s$ and natural length $l$. Initially the spring is underformed and a velocity of 2m/s is imparted to A along the line of the spring away from B. If the body is released from rest and the spring is undeformed, calculate the maximum elongation of the spring. They are lying on a rough horizontal surface. As shown in the figure, the mass m is placed on a smooth inclined plane of inclination 30° and 2m Two blocks of masses M and 2 M are connected to a light spring constant K that has one end fixed, as shown in the figure. The spring is stretched by an amount x and then released. 1 Linear systems of masses and springs We are given two blocks, each of mass m, sitting on a frictionless horizontal surface. Two masses $m_ {1}$ and $m_ {2}$ slide freely in a horizontal frictionless track and are connected by a spring whose force constant i Two blocks of masses m and 2m, connected by a light spring of stiffness k, are kept on a smooth horizontal surface. The system is lying on a smooth horizontal surface with the block A in contact with a fixed vertical wall as shown in the figure. The pulley is suspended from a force probe, Two blocks A and B of masses m and 2m , respectively, are connected by a massless spring of force constant k and are placed on a smooth horizontal plane. Spring is stretched by an amount x and then released . Two blocks (mass M and 2 M) are placed on a horizontal frictionless surface connected by an ideal spring. The masses are released from rest. The coefficient of frictionbetween the blocks and the surface is mu. The coefficient of friction between the blocks and the surface is 0. In the two blocks of masses m 1 and m 2 and pulley system below, the pulley is frictionless and massless and the string around the pulley is massless. The relative velocity of the blocks when the spring comes to its natural length is Tardigrade Question Physics Two blocks A and B of mass m and 2m respectively are connected together by a light spring of stiffness K and natural length l . 1. What are the magnitudes of acceleration of A and B immediately after the st Jun 18, 2019 · Two blocks, of masses `M` and `2 M`, are connected to a light spring of spring constant `K` that has one end fixed, as shown in figure. Mass b has a spring connected to it and is at rest. Two blocks, of masses \ ( M \) and \ ( 2 M \), are connected to a light spring of spring constant \ ( K \) that has one end fixed, as shown in figure. (B) Maximum kinetic energy of the system is 2M2g2/k (C) Maximum energy Oct 4, 2021 · Question Two blocks A and B of masses m and 2 m, respectively, are connected by a massless spring of spring constant K This system lies over a smooth horizontal surface. What is the initial acceleration of the block with mass 2m? Chapter 6: Vibrations Homework Homework 1--1. frameTwo blocks A and B of mass m and 2m respectively are connected by a massless spring of spring constant K. Neglecting friction and mass of the string, find the acceleration of the bodies just after the string S is cut. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. 6. Jul 7, 2019 · Two blocks of masses `m_ (1) = 10 kg` and `m_ (2) = 20 kg` are connected by a spring of stiffness k = 200 N/m. The whole system is suspended by a massless spring as shown in the figure. Aug 5, 2019 · Two blocks A and B of masses m and 2m respectively are connected by a spring of force constant k. A body of mass m hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness k as shown in figure. The blocks are released from rest with the spring relaxed. A. Block 'A' (mass m) is being pulled with force F, and block 'B' (mass 2m) is connected as in the figure. Jul 10, 2019 · Two blocks `A` and `B` of masses `m` and `2m` respectively are connected together by a light spring of stiffness `k` and then placed on a smooth horizontal surface. calculate (a) the acceleration of the masses, a. The magnitude of the acceleration of A and B immediately after the str 13. The Jul 21, 2023 · Two blocks of Masses M and 2M are connected by a spring of stiffness k . Block B collides head on with a third block C of mass 2 m . N8) Two masses m and 4m are connected by a string that runs over a massless pulley. What should be the initial compression of the spring so that the system will be about to break off the surface after releasing the block m1? Sep 19, 2022 · Example 15: Two blocks A and B of masses m and 2m respectively are connected by a massless spring stiffness k. Two-block Spring System Experiment and Mechanism A block of mass m is connected to another block of mass M by a massless spring of spring constant k. The relative velocity of the blocks when the spring comes to its natural length is Jun 26, 2023 · 12. At `t=0` the bolck `A` has velocity u towards right as shown while the speed of block `B` is zero, and the length of spring is equal to its natural length at that at that instant. By means of a massless thread connecting the blocks the spring is held compressed to a length `l//2`. The discussion centers on determining the velocity of the center of mass of the system after the release. The horizontal surface and the pulley are friction less. The blocks are subjected to a pair of forces and move on a smooth horizontal surface along a straight line. The pulley can either e locked in place so that it cannot rotate or unlocked to allow it to rotate freely. The coefficient of friction between the blocks and the surface is mu Find the minimum constant force F to be applied to 2m in order to slide the mass M . At some time after the string is cut, the block of 2M mass reaches its maximum kinetic energy of 20 J. The blocks are released from when the spring is non deformed. The whole system is suspended by a massless spring as shown in figure. A spring of stiffness Step by step video & image solution for Two blocks A and B of mass m and 2m respectively are connected by a light spring of force constant k. Similar questions Q. A smooth ring of mass m 1 connected with a hanging block of mass m 2 , by a long inextensible string, is released from rest. spring at the instant. This is supported by . The blocks are attached to three springs, and the outer springs are also attached to stationary walls, as shown in Figure 13. The string passes over a pulley, as shown above. the whole system is moving with speed `v` in a direction perpendicular to the length of the spring. Block of mass m is shifted to a small distance x to the left and then released. 0 kg and R = 0. The upper block is able to slide along the smooth upper surface of the lower block, with the lower block being able to slide along a smooth horizontal surface. the thread is then burnt Question: Two blocks, of masses m1 and m2, are connected by a model string, as shown below. The block with mass m1 is smooth, so that there is no frictional force. It is concluded that the center of mass remains stationary, resulting in a velocity of zero. The blocks are released from rest when the spring is non deformed. 05, 2023 01:20 p. Mass a has an initial velocity v 0 along the x-axis and strikes the spring of constant k, compressing it and thus starting mass b in motion along the x-axis. The string is light. Jun 14, 2019 · A block of mass 2M is attached to a massless spring with spring-constant k. Maximum extension in the spring is ` (4Mg)/ (K)`. At t = 0, block A has velocity u towards right as shown, while the speed of block B is zero, and the length of the spring is equal to its natural length at that instant. The total work done by the spring on the system of two blocks is essentially the change in kinetic energy of the whole system. Both blocks lie on a plane that is inclined at an angle α to the horizontal. When the blocks are at rest the springs are Two blocks A(3kg) and B(2kg) resting on a smooth horizontal surface is connected by a spring of stiffness 480N /m. Two blocks of masses m1 and m2 are in equilibrium. by Physics experts to help you in doubts & scoring excellent marks in Class 11 exams. This system lies over a smooth horizontal surface. 4. Two blocks each of mass m are connected to a spring of spring constant k. Feb 8, 2020 · Two blocks, of masses `M` and `2 M`, are connected to a light spring of spring constant `K` that has one end fixed, as shown in figure. The horizontal surface and the pulley are frictionless. At the instant shown, there is force F acting on B and the acceleration of A at thin instant is a towards left. If we push mass M_ (1) with force F and cause acceleration a_ (1) in mass M_ (1). The blocks are pushed towards each other such that spring gets compressed by a length x0 and then released from rest. The system is lying on a smooth horizontal surface with block A in contact with a fixed vertical wall as shown in the figure. They are placed on a smooth horizontal plane . The masses hang on opposite sides of a pulley with radius R. Find the minimum constant force F to be applied to m1 in order to just slide the mass m2. Question: Problem 3 Two blocks of masses M and 2M are connected by a light string. If $x$ is the extension of the spring and $x_1$ and $x_2$ Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. Jun 29, 2019 · Two blocks `A` and `B` of mass `m` and `2m` respectively are connected by a massless spring of spring constant `K`. Topper's Solved these Questions Similar Questions Two blocks A and B of masses m and m respectively are connected together by a light spring of stiffness k and then placed on a smooth horizontal surface. Bar 2 is shifted by a small distance x_0 Mar 26, 2025 · Two blocks A and B of masses m and 2 m respectively are connected by a spring of spring constant k. Find the minimum constant force F to be applied to m 1 in order to just slide the mass m 2 . Two blocks A and B of mass m and 2m respectively are connected by a massless spring of force constant k. Two blocks of masses m1 = 1 kg m 1 = 1 k g and m2 = 2kg m 2 = 2 k g are connected by non-deformed light spring. Find an expression of the acceleration when the block are released from rest. Find the minimum constant force F to be PHYSICS 110A : CLASSICAL MECHANICS MIDTERM EXAM #2 [1] Two blocks connected by a spring of spring constant k are free to slide frictionlessly along a horizontal surface, as shown in Fig. Two blocks of masses m and 2m are connected by a light string passing over a frictionless pulley. 1`. Lagrangian Mechanics: 1. The coefficient of friction between the blocks and the surface is μ. Find the acceleration of B and the extension in the spring at thic, instant. They slide in the x-direction on a frictionless surface. Question: Two blocks of masses m and 2m are connected by light inextensible string which passes over a uniform circular pulley of radius a and mass 4m. The spring has its natural length during this motion. Find the work done on the block `A` by the spring, by the time the spring acquires its natural length. The two outer springs each have force constant k, and the inner spring has force constant k0. The pulley is a solid disc which has a radius R and mass 2M. If M=1. Find the relative velocity of the blocks when the spring comes to its natural length by Physics experts to help you in doubts & scoring excellent marks Oct 28, 2021 · Two blocks of masses `m` and `2m` rest on a frictionless horizontal surface. The coefficient of friction between the blocks and the fixed horizontal surface is `mu = 0. Use C. They are connected by an ideal spring of relaxed length `l` and stiffness constant `k`. The blocks are released from rest when the spring is relaxed. (b) Find the resulting motion of mass a while in contact with the spring. Spring is stretched by a length x and then released. Two blocks of masses m 1, m 2 are connected by a spring of stiffness k. Find the upward acceleration of the mass m. If the duration between releasing mass m and breaking off of mass 2m is Δt, then average force (in newton) exerted by wall on mass 2m is given as Δtxmkn. Two bars of masses m_1 and m_2, connected by a weightless spring of stiffness k, rest on a smooth horizontal plane. Air resistance is negligible. They are stretched by an amount x and then released. Two blocks A and B of mass m and 2m are connected by a massless spring of force constant k . SOLVED: Two blocks of masses m1 = m and m2 = 2m are connected between and to the supports by three linear springs of spring constants k, k, and 2k, respectively, as shown. m. The blocks are pushed towards each other such that spring gets compressed by a length `x_ (0)` and then released from rest. Two blocks, both of mass M, are connected with a spring with spring constant k. The masses are moving to the right with uniform velocity v each, The heavier mass leading the lighter one. B Given: Two blocks, having masses of m and 2m, are connected by an inextensible cable, with the cable being pulled over a frictionless pulley having negligible mass. 7vai6 gw8j kf ejaa duy2 w0xrn uj h5 jpg mth