Max $(15$ kg$)$ pushes Maya $(12$ kg$)$ on a swing so that Maya moves in simple harmonic motion. The swing is $1\mathrm{.}8$ meters long and has a mass of $4$ kg$,$ concentrated in the seat. If Maya and the swing form a simple pendulum, what is the period of Maya$$s motion?

$2\mathrm{.}3$ s$0\mathrm{.}78$ s$0\mathrm{.}43$ s$2\mathrm{.}7$ s$0\mathrm{.}67$ s

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Part B

On Earth, you swing a simple pendulum in simple harmonic motion with a period of $1\mathrm{.}6$ seconds. What is the period of this same pendulum on the Moon? Assume the Moon$$s acceleration due to gravity is $1/6$ of the acceleration due to gravity on Earth.

$0\mathrm{.}27$ s$9\mathrm{.}6$ s$0\mathrm{.}65$ s$3\mathrm{.}9$ s

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Part C

A baseball bat is $32$ inches $(81\mathrm{.}3$ cm$)$ long and has a mass of $0\mathrm{.}96$ kg$.$ Its center of mass is $22$ inches $(55\mathrm{.}9$ cm$)$ from the handle end. You hold the bat at the very tip of the handle end $($the knob$)$ and let it swing in simple harmonic motion. What is the bat$$s moment of inertia if its period of oscillation is $1\mathrm{.}35$ seconds?

$0\mathrm{.}353$ kg$$m$29\mathrm{.}55$ kg$$m$20\mathrm{.}243$ kg$$m$21\mathrm{.}13$ kg$$m$2$

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