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

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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 horizon tal frictionless track The force constant of the spring is k and the equilibrium length is Assume that all portions of the spring oscillate in phase and that the velocity of a segment dx is proportional to the dis tance 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 dx

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