An undamped spring-mass system contains a mass that weighs 8lb and a spring with spring constant 3lb/in. It is suddenly set in motion at t=0 by an external force of 7cos⁡(4t)lb.   Determine the position u, in feet, of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units. u(t)  = ? ft

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 9EQ
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An undamped spring-mass system contains a mass that weighs 8lb and a spring with spring constant 3lb/in. It is suddenly set in motion at t=0 by an external force of 7cos⁡(4t)lb.

 

Determine the position u, in feet, of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units.

u(t)  = ? ft

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