A mass weighting 32 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscousresistance of 44 lbs when the mass has a velocity of 2 ft/sec.Suppose the object is displaced an additional 7 inches and released.Find an equation for the object's displacement, u(t), in feet after t seconds.u(t) =

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Answered: A mass weighting 32 lbs stretches a…

A mass weighting 32 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 44 lbs when the mass has a velocity of 2 ft/sec.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 29P

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

A mass weighting 32 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous
resistance of 44 lbs when the mass has a velocity of 2 ft/sec.
Suppose the object is displaced an additional 7 inches and released.
Find an equation for the object's displacement, u(t), in feet after t seconds.
u(t) =

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