A block of mass M is connected to a spring of mass m and oscillates in simple

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A block of mass M is connected to a spring of mass m and oscillates in simple harmonic motion on a horizontal, frictionless track (Fig. P15.66). The force constant of the spring is k and the equilibrium length is L. Assume that all portions of the spring oscillate in phase and that the velocity of a segment dx is proportional to the distance x from the fixed end; that is, vx = (x/L)v. Also, note that the mass of a segment of the spring is dm = (m/L) dx. Find
(a) The kinetic energy of the system when the block has a speed v and
(b) The period of oscillation.

A block of mass M is connected to a spring of mass m and
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College Physics

ISBN: 978-0321601834

7th edition

Authors: Jerry D. Wilson, Anthony J. Buffa, Bo Lou

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