Question

1) A ball of 2 kg rolls without slipping along a horizontal floor with a velocity of 10m/s.

1a) find the rotational kinetic energy of this ball.

1b) Now, the ball rolls up an inclined ramp (rolls without slipping). What height does the ball reach along the ramp before it finally stops?

2) Consider a stick of total mass M and length L rotates about one end. Since the stick gets heavier as you move along a stick, the stick is not uniformly dense. The linear mass density is given by (λ)= (3M / L^3)x^2 , where x is the distance along the stick. Find the moment of inertia of the stick about its endpoint.

Answer 1