The pulley system below consists of two masses connected by a string of negligible mass througha massless pulley. A spring with constant k is placed so that its equilibrium position is located adistance h below the bottom of mass m2. There is no friction either in the pulley, or between thesurfaces of the masses and the platform. When the two masses m₁ and m2 are released fromrest, mass m2 begins falling and pulls mass m₁ up the ramp.Find an expression for themaximum compression of thespring d caused by mass m2 when ithits the spring. Your answer shouldbe in terms of the variables given(and g).m2MWmy0

Solution: Consider the free-body diagram of the system as shown below: From the free-body diagram,…

Answered: Find an expression for the maximum…

Find an expression for the maximum compression of the spring d caused by mass m2 when it hits the spring. Your answer should be in terms of the variables given (and g). h

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

The pulley system below consists of two masses connected by a string of negligible mass through
a massless pulley. A spring with constant k is placed so that its equilibrium position is located a
distance h below the bottom of mass m2. There is no friction either in the pulley, or between the
surfaces of the masses and the platform. When the two masses m₁ and m2 are released from
rest, mass m2 begins falling and pulls mass m₁ up the ramp.
Find an expression for the
maximum compression of the
spring d caused by mass m2 when it
hits the spring. Your answer should
be in terms of the variables given
(and g).
m2
MW
my
0

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