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A fireman tosses his 0.98-kg hat onto a peg, where it

Chapter 13, Problem 65P

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QUESTION:

A fireman tosses his 0.98-kg hat onto a peg, where it oscillates as a physical pendulum (Figure 13–26). If the center of mass of the hat is 8.4 cm from the pivot point, and its period of oscillation is 0.73 s, what is the moment of inertia of the hat about the pivot point?

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QUESTION:

A fireman tosses his 0.98-kg hat onto a peg, where it oscillates as a physical pendulum (Figure 13–26). If the center of mass of the hat is 8.4 cm from the pivot point, and its period of oscillation is 0.73 s, what is the moment of inertia of the hat about the pivot point?

ANSWER:

Step 1 of 2

The mass of the hat is given as,

                                                              

The centre of mass of the hat from the pivot point is,

                                                              

The value of the gravitational acceleration is,

                                                                 

The period of oscillation of the hat is,

                                                                      

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