[25] An undamped spring-mass system has a mass that weighs 48 lb and a spring constant 0.5 lb/in. The mass is suddenly set in motion at t = 0 by an external force of 3 cos(2t) lb. Assume that the gravitational acceleration is g= 32 ft/s². Find the position of mass as a function of time t.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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[25] An undamped spring-mass system has a mass that weighs 48 lb and a spring constant
0.5 lb/in. The mass is suddenly set in motion at t = 0 by an external force of 3 cos(2t) lb.
Assume that the gravitational acceleration is g = 32 ft/s?.
Find the position of mass as a function of time t.
Transcribed Image Text:[25] An undamped spring-mass system has a mass that weighs 48 lb and a spring constant 0.5 lb/in. The mass is suddenly set in motion at t = 0 by an external force of 3 cos(2t) lb. Assume that the gravitational acceleration is g = 32 ft/s?. Find the position of mass as a function of time t.
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