A solid sphere and a hollow sphere, both made of the same material and with the

Question

A solid sphere and a hollow sphere, both made of the same material and with the same mass, rotate at the same rate. Which of the following is true? a) The hollow sphere has a greater moment of inertia, so it has greater angular momentum. b) The solid sphere has a greater moment of inertia, so it has greater angular momentum. c) They rotate at the same rate and have the same mass, so they have the same angular momentum. A mass of 0.5 kg is attached to a spring with spring coefficient k = 1.2 N/m. The spring is stretched 3 cm from equilibrium. Find the maximum speed of the mass. A solid sphere of radius 0.5m and mass 3 kg rolls down an incline without slipping. The height of the incline is 5 m. Use conservation of energy to find the speed and angular velocity of the ball when it reaches the bottom of the incline.

Explanation / Answer

here,

9)

the moment of inertia of solid sphere , Is = 2/5 m*r^2

the moment of inertia of hollow sphere , Ih = 2/3 m*r^2

and the angular speed is same

angular momentum = I * w

as the hollow sphere has greater moment of inertia,

the angular momentum is greater

so the correct option is a)

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