Explanation Given information: w = m g = 0.04 g Weight of disc W = m D g = 1.5 g r = 0.100 m β = 60 ° The forces corresponding to the disc are shown in the free body diagram below: α = θ ¨ a t = r α = r θ ¨ And moment of inertia is I = m D r 2 2 Now taking moment about point C, ∑ M C = ( ∑ M C ) e f f w r sin ( β − θ ) − w r sin ( β + θ ) = 2 w g r a t + I α w r [ sin ( β − θ ) − sin ( β + θ ) ] = − 2 w r sin θ cos β ( 2 w r 2 g + W r 2 2 g ) θ ¨ + ( 2 w r cos β ) ;

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Gen…

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Chapter 19.2, Problem 19.45P

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The frequency of oscillation.

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Chapter 19.2, Problem 19.44P

Chapter 19.2, Problem 19.46P

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Chapter 19 Solutions

Vector Mechanics for Engineers: Dynamics

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3P Ch. 19.1 - Prob. 19.4P Ch. 19.1 - Prob. 19.5P Ch. 19.1 - Prob. 19.6P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A 10-Ib block A rests on a 40-Ib plate B that is...Ch. 19.1 - A 5-kg fragile glass vase is surrounded by packing...

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The frequency of oscillation.

Solution Summary: The author explains the frequency of oscillation and the moment of inertia of the disc.

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