Consider the setup shown below: a block with mass m; sits on a table with friction coefficient u between the table and itself, attached on one side to a spring with stiffness k, and on the other side to a cord with negligible mass that wraps over a frictionless pully and supports a second block with mass m; that's suspended in the air over the edge of the table. If the friction between block 1 and the table is not enough to hold up block 2 (so that the spring has to stretch), how far is the spring stretched when the system comes to rest? sell m1 m2

Consider the setup shown below: a block with mass m; sits on a table with friction coefficient u between the table and itself, attached on one side to a spring with stiffness k, and on the other side to a cord with negligible mass that wraps over a frictionless pully and supports a second block with mass m; that's suspended in the air over the edge of the table. If the friction between block 1 and the table is not enough to hold up block 2 (so that the spring has to stretch), how far is the spring stretched when the system comes to rest? sell m1 m2

Name: Consider the setup shown below: a block with mass m, sits on a table
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Consider the setup shown below: a block with mass m, sits on a table with friction coefficient u between the table anditself, attached on one side to a spring with stiffness k, and on the other side to a cord with negligible mass that wrapsover a fr

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.9P: A particle of mass m is at rest at the end of a spring (force constant = k) hanging from a fixed...

See similar textbooks

Similar questions

Block A has a mass mA and is attached to a spring having a stiffness k and an unstretched length l0. If another block B, having a mass mB, is pressed against A so that the spring deforms a distance d, determine the distance both blocks slide on the smooth surface before they begin to separate. What is their velocity at this instance?
Consider the simple pendulum shown with a small pendulum bob of mass of m suspended from a massless wire of length L. A bar is placed right next to the pendulum’s string, half-way up, so that when the pendulum swing to the right it is constrained by the bar but can swing normally to the left as shown in the diagram. If the pendulum is initially displaced by an angle of θ0 to the left and released from rest, What expression gives the time required to complete N full oscillations?
An ideal spring hangs vertically. When a 359- g object is hung from the bottom end, and lowered gently, the spring stretches 6.23cm. How much would the spring have stretched, in cm, if the mass of the object had been 601 g instead ?
Physics students design an experiment to measure assorted coefficients of friction using a set-up similar to the one shown (not drawn to scale). A small balloon containing sand with a combined mass of 98.2gg is suspended with an ideal string of length 86.6cmcm, forming a simple pendulum. The pendulum is released from an angle of 41.4∘∘ with the vertical, and it collides with a block of mass 333gg located where the pendulum string becomes vertical. Because the balloon weighted with sand is soft and deformable, the collision is totally inelastic. The block slides for a distance of 30.8mmmm before coming to rest. a) Calculate the speed, in meters per second, of the sand-filled balloon at the instant prior to the collision. b) Calculate the speed, in meters per second, of the block at the instant following the collision. c)
A mathematical pendulum of mass 1.0 kg and length 1.0 m is moved by an angle 60° from the vertical axis and then let go. How fast does the wight move at the moment the rope encloses an angle of 30° with the vertical axis?
An object of mass M is hanging from a spring (with l_o =0 and a spring constant k). There is a constant force from the wind, F_wind, blowing to the right, so the mass is initially at rest, but hanging at an angle Theta from the vertical because of the presence of the wind. Suddenly, spring breaks, and the mass drops under the influence of F_air and its weight. If the object (in equilibrium before the spring breaks) is a height H above the ground, how far laterally (in the direction of the wind) does the object hit the ground, L (given theta, k, M, g, H)?
In the above question let us consider the position of mass when the spring is relaxed as x = 0, and the left to right direction as the positive direction of the x-axis.Provide x as a function of time t for the oscillating mass, if at the moment we start the stopwatch (t = 0), the mass is:( i ) at the mean position,( ii ) at the maximum stretched position, and( iii ) at the maximum compressed position.
A body of mass m is suspended by a rod of length L that pivots without friction (as shown). The mass is slowly lifted along a circular arc to a height h. a. Assuming the only force acting on the mass is the gravitational force, show that the component of this force acting along the arc of motion is F = mg sin u. b. Noting that an element of length along the path of the pendulum is ds = L du, evaluate an integral in u to show that the work done in lifting the mass to a height h is mgh.
An ideal spring hangs vertically. When a 453 g object is hung from the bottom end, and lowered gently, the spring stretches 5.58 cm. How much would be the spring have stretched, in cm, if the mass of the object had been 560 g instead? x'=?
If a mass is hanging from a vertical spring is above the equilibrium point, which way does the net force point?
Show that the Force of Gravity is conservative.
A 0.80 kg mass is hung from a string of 0.70 meters. In absence of frictional forces, how high will the mass swing back up after passing through its original resting position?