The moment of inertia is a measure of the resistance of an object to change its

Question

The moment of inertia is a measure of the resistance of an object to change its angular velocity. The way a baseball player increases his ability to swing the bat faster is to reduce the moment of inertia of the bat, for example to grab closer to its center of mass.

a) Try the bat as a uniform rod of mass M and length l, and considering the rotation about an axis perpendicular to its length through a point located at a distance h from its end, prove that

b) Make a graph of I vs. h from zero to l/2. Draw six points and curve that unites them.

Explanation / Answer

MI about the centre is= ML2/12

using theorem of parallel axis=

MInet=ML2/12 + M((L/2) - h)2

MInet=M((L2/3) - Lh + h2)

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