(a) Explanation Given information: The magnitude of periodic force ( P ) is P m sin ω f t . The maximum periodic force ( P m ) is 20 N . The forced frequency ( ω f ) is 2rad/s . The mass of block B ( m ) is 22 kg . Calculation: Calculate the spring constant ( k ) using the formula: ω n = k m ω n 2 = k m < (b) To determine Find the corresponding amplitude of the vibration ( x m ) of block B .

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ISBN: 9781259633133

Author: BEER

Publisher: MCG

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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…

Question

Chapter 19.4, Problem 19.124P

(a)

To determine

Find the constant (k) that will prevent a steady state vibration of block A.

(b)

To determine

Find the corresponding amplitude of the vibration (xm) of block B.

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Chapter 19.4, Problem 19.123P

Chapter 19.4, Problem 19.125P

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Chapter 19 Solutions

VECTOR MECH...,STAT.+DYNA.(LL)-W/ACCESS

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.2P 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 - Prob. 19.8P Ch. 19.1 - Prob. 19.9P Ch. 19.1 - Prob. 19.10P

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Find the constant ( k ) that will prevent a steady state vibration of block A .

Solution Summary: The author calculates the spring constant ( k ) that will prevent a steady state vibration of block A.

Concept explainers

Find the constant (k) that will prevent a steady state vibration of block A.

Find the corresponding amplitude of the vibration (xm) of block B.

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Chapter 19 Solutions