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A thin spherical shell, of mass m = 20 kg and radius R, rolls smoothly from rest down a ramp at an angle =

 

A thin spherical shell, of mass m = 20 kg and radius R, rolls smoothly from rest down a ramp at an angle = 30. Assume that the spherical shell has the centre of mass inertia Icom = 2/3mR. Draw a free body diagram and answer the following questions: (a) If the ball descends a vertical hight h=10m to reach the bottom of the ramp, what is its speed at the bottom of the ramp? (b) What are the magnitude and direction of frictional force that acts on the ball as it rolls down the ramp?

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