(a) Explanation Given Information: The package is to be tested at a peak acceleration ( a m ) of 20 m/s 2 . The amplitude ( x m ) of the shaker table displacement is 10 mm. Calculation: Write the formula for maximum acceleration ( a m ) : a m = x m ω n 2 Rewrite the above equation for ( ω n ) . ω n = a m x m (1) Calculate the natural circular frequency ( ω n ) : Substitute 10 mm for x m and 20 m/s 2 for a m . ω n = 20 ( 10 mm × 1 m 1000 mm ) = 2000 = 44 (b) To determine The maximum velocity ( v m ) of the table.

VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)

12th Edition

ISBN: 9781260916942

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…

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Chapter 19.1, Problem 19.5P

(a)

To determine

The required speed (v) of the motor in rpm.

(b)

To determine

The maximum velocity (vm) of the table.

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Chapter 19.1, Problem 19.4P

Chapter 19.1, Problem 19.6P

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Chapter 19 Solutions

VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)

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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The required speed ( v ) of the motor in rpm.

Solution Summary: The author explains that the package is to be tested at a peak acceleration of (a_m).

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The required speed (v) of the motor in rpm.

The maximum velocity (vm) of the table.

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Chapter 19 Solutions