Answer to Question #284214 in Physics for lelouche

Question

A solid sphere of mass M and radius R is attached to a horizontal spring of spring constant k and the sphere rolls without slipping along a horizontal surface. The system is released from rest when the spring is stretched by a length d.The system then undergoes a simple harmonic motion. x = 0 is the equilibrium position.

(a) Find the magnitude of velocity of the center of mass of the sphere when it passes

the equilibrium position in terms of some or all of the following - k, x, M, R and d.

(b) Find an expression for the time period of the simple harmonic motion.

(c) Write down the general equation of simple harmonic motion for this system. Draw

position vs time, velocity vs time and acceleration vs time plots.

Answer 1

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