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A baseball bat is 1 meter long and is made of wood with density 525 kg/m^3. Model the bat as two cylinders of equal length. The handle has a diameter of 0.70 cm and the business end has a diameter of 2.75 cm.

a) If the bat is held such that the point of rotation is 5.0 cm from the thin end, what is the rotational inertia of the bat?

b) Where approximately is the "sweet spot" of the bat?

c) If the bat is suspended at a point 5.0 cm from the end, what will be its period of oscillation?

d) If a forcing function is applied to the physical pendulum in part (c), what forcing frequency will cause the amplitude to become very large?

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