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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A coat hanger of mass m = 0.238 kg oscillates on a peg as a physical pendulum as shown in Figure P13.38. The distance from the pivot to the center of mass of the coat hanger is d = 18.0 cm and the period of the motion is T = 1.25 s. Find the moment of inertia of the coat hanger about the pivot.

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To determine
The moment of inertia of the coat hanger about the pivot.

Explanation

Given info: The mass of the coat hanger is m=0.238kg . The distance of the pivot to the center of mass is d=18.0cm . The period of the motion is T=1.25s .

The time period of a physical pendulum is defined by,

T=2πImgL

  • I is the moment of inertia of the object
  • m is the mass of the object
  • L is the distance between the pivot and center of mass of the object
  • g is the free fall acceleration

Re-arranging for moment of inertia I ,

I=mgL(T2π)2

Substituting m=0.238kg , g=9.80ms-2 , T=1.25s and L=18.0cm

I=(0

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