Explanation Given information: The mass of the electromagnet is 150 kg , the mass of the scrap is 100 kg , the spring constant is 60 kN / m , the damping coefficient is 300 N ⋅ s / m . Write the expression for damping ratio. ζ = C 2 k m …… (I) Here, the damping factor is C , th Write the expression of frequency of oscillation. f = k m 1 − ( ζ ) 2 2 π ..... (II) Here, the frequency of oscillation is f , the spring constant is k and the damping ratio is ζ , the mass of the electromagnet is m . Calculation: Substitute 300 N ⋅ s / m for C , 150 kg for m , 60 kN / m for k in Equation (I). ζ = 300 N ⋅ s / m 2 ( 60 kN / m ) ( 150 kg ) < To determine (b) The maximum upward displacement.

12th Edition

ISBN: 9781259977237

Author: BEER

Publisher: MCG

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Question

Chapter 19.5, Problem 19.136P

To determine

(a)

The frequency of oscillation.

To determine

(b)

The maximum upward displacement.

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Chapter 19.5, Problem 19.135P

Chapter 19.5, Problem 19.137P

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(a) The frequency of oscillation.

Solution Summary: The author explains the frequency of oscillation, the damping coefficient, and the mass of the electromagnet.