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A solid sphere and a solid cylinder (both have mass M and radius R) are released from rest at the top of an inclined plane of height H that makes an angle θ with the horizontal (see figure 7).
a) Assume that both roll without slipping, find the time taken by the sphere and the cylinder to reach the bottom. Which object wins the race?
b) What should the value of the angle θ be such that both the sphere and cylinder are able to roll down the incline without slipping?
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