Explanation Given information: The impressed force ( P ) is P m sin ω f t . The equation of ( y ) is δ m sin ω f t . Calculation: The expression for the amplitude of forced vibration ( x m ) as follows: x m = P m k 1 − ( ω f ω n ) 2 The expression for the force transmitted ( P T ) m as follows: ( P T ) m = k x m Substitute P m k 1 − ( ω f ω n ) 2 for x m . ( P T ) m = k P m k 1 − ( ω f ω n ) 2 ( P T ) m = k × P m k [ 1 1 − ( ω f ω n ) 2 ] ( P T ) m = P m [ 1 1 − ( ω f ω n ) 2 ]

Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259638091

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

Publisher: McGraw-Hill Education

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the init…

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Chapter 19.4, Problem 19.121P

To determine

Show the equation of transmissibility ωfωn>2.

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Chapter 19.4, Problem 19.120P

Chapter 19.4, Problem 19.122P

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Chapter 19 Solutions

Vector Mechanics for Engineers: Statics and 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 - Prob. 19.7P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9P Ch. 19.1 - Prob. 19.10P

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