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A cylinder rolls down a ramp (I=1/2MR^2). Its mass is 10kg and has a 0.5m radius....

A cylinder rolls down a ramp (I=1/2MR^2). Its mass is 10kg and has a 0.5m radius. When released, it rolls down the ramp without slipping. The height of the ramp is 5m, and the length of the ramp is 10m.

a.) How many times does the thing roll on its way down?

b.) How long does it take the cylinder to get to the bottom of the ramp?

c.) If instead it was a block of the same mass that slid on a frictionless surface, how long would it take to get down the ramp?

d.) What coefficient of friction on that surface would make the mass slide like the cylinder of part b?

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