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Problem 13.62 Part A A fireman tosses his 0.93-kg hat onto a peg, where it oscillates as a physical pendulum (see the figure (Figure If the center of mass of the hat is 9.0 cm from the pivot point, and its period of oscillation is 0.80 s, what is the moment of inertia of the hat about the pivot point? Express your answer using two significant figures Figure 1 I- kg m2 ▼of! Submit My Answers Give Up Provide Feedback Continue

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Answer #1

We know for a torsional pendulum,

Time period T = 2pi * sqrt(I/mgR)

[T/2pi]^2 = I/mgR

[0.80/(2pi)]^2 = I/[0.93*9.8*0.09]

I =  [0.80/(2pi)]^2*[0.93*9.8*0.09]

= 0.013 kgm^2 answer

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