Consider a cylinder of length L and radius R with density given by p(r)=p0 r/R. a) What is the mass of the cylinder? b) What is the rotational inertia about the axis of the cylinder? c) Suppose you lay the cylinder down on its side on a pool table. Where do you strike the cylinder with the cue such that it begins rolling smoothly and doesn’t spin?

Consider a cylinder of length L and radius R with density given by p(r)=p0 r/R. a) What is the mass of the cylinder? b) What is the rotational inertia about the axis of the cylinder? c) Suppose you lay the cylinder down on its side on a pool table. Where do you strike the cylinder with the cue such that it begins rolling smoothly and doesn’t spin?

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