Example: A 16 lb weight stretches a spring 1.6 ft. At the equilibriumposition, the weight is given a downward velocity of 12 ft/sec. If there is a damping force in pounds numerically equal to twice the instantaneous velocity in ft/sec.,how far below the equilibriumposition will the weight be when it stops for the first time before changing direction?

Example: A 16 lb weight stretches a spring 1.6 ft. At the equilibriumposition, the weight is given a downward velocity of 12 ft/sec. If there is a damping force in pounds numerically equal to twice the instantaneous velocity in ft/sec.,how far below the equilibriumposition will the weight be when it stops for the first time before changing direction?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

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 initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Example: A 16 lb weight stretches a spring 1.6 ft. At the equilibriumposition, the
weight is given a downward velocity of 12 ft/sec.If there is a damping force in
pounds numerically equal to twice the instantaneous velocity in fi/sec.,how far
below the equilibriumposition will the weight be when it stops for the first time
before changing direction?

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