An L -shaped bar of mass M is pivoted at one of its end so that it can freely rotate in a vertical plane, as shown in the figure. If it is slightly displaced from its equilibrium position, find the frequency of oscillation.

The frequency of oscillation for a compound pendulum is f = 1 2 π m g l I where d = distance of the cm from the point of suspension. and I = moment of inertia about the point of suspension. d = 3 L 4 2 + L 4 2 = L 4 10 I = M 2 L 2 3 + M 2 L 2 12 + M 2 L 2 + L 2 2 = M L 2 3 f = 1 2 π M g L 4 10 M L 2 3 or f = 1 2 π ( 2 . 37 ) g L

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>ILLUSTRATIONS

B M Sharma Solutions for Chapter: Linear and Angular Simple Harmonic Motion, Exercise 1: ILLUSTRATIONS

Author:B M Sharma

B M Sharma Physics Solutions for Exercise - B M Sharma Solutions for Chapter: Linear and Angular Simple Harmonic Motion, Exercise 1: ILLUSTRATIONS

Attempt the practice questions on Chapter 5: Linear and Angular Simple Harmonic Motion, Exercise 1: ILLUSTRATIONS with hints and solutions to strengthen your understanding. PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS solutions are prepared by Experienced Embibe Experts.