Part A) A solid sphere of mass M and radius R is mounted on an axle...

Part A) A solid sphere of mass M and radius R is mounted on an axle through its center. The axle is attached to a horizontal spring of constant k, and the sphere rolls back and forth without slipping. Derive an expression for the total energy of this system in terms of the displacement of the spring x, speed v of the center-of-mass of the sphere when its displacement is x, and M, and k.

Part B) Derive the expression for the angular velocity of the oscillation. Hint: Take the derivative of the energy with respect to time and set it equal to zero. The acceleration of simple harmonix motion is of the form alpha = -omega^(2) * x

(For part A I used 2/5MR^2 for the moment of inertia but it is saying it is wrong so please help)

Expert Solution

genius_generous answered 1 month ago

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