An 12 lb weight stretches a spring .32 ft. The weight is initially displaced 0.5 feet above equilibrium and given an upward velocity of 2 ft/sec. Find its displacement for t> 0 if the medium exerts a damping force of 1.5 lb for each ft/sec of velocity.

An 12 lb weight stretches a spring .32 ft. The weight is initially displaced 0.5 feet above equilibrium and given an upward velocity of 2 ft/sec. Find its displacement for t> 0 if the medium exerts a damping force of 1.5 lb for each ft/sec of velocity.

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.

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Please don't provide handwritten solution....

An 12 lb weight stretches a spring .32 ft. The weight is
initially displaced 0.5 feet above equilibrium and given an
upward velocity of 2 ft/sec. Find its displacement for
t> 0 if the medium exerts a damping force of 1.5 lb for
each ft/sec of velocity.
y(t)
=

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