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A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 in. and then released, determine the position u(t) in ft of the mass at any time t in seconds. NOTE: Assume that the u-aris is directed downwards. u(t) Determine the first four times at which the velocity of the mass is zero. NOTE: Enter the eract answers and exclude t = 0 as trivial. The first four times the velocity is zero are t =

A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 in. and then released, determine the position u(t) in ft of the mass at any time t in seconds. NOTE: Assume that the u-aris is directed downwards. u(t) Determine the first four times at which the velocity of the mass is zero. NOTE: Enter the eract answers and exclude t = 0 as trivial. The first four times the velocity is zero are t =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 in. and then released, determine the position u(t) in ft of the mass at any time t in seconds. NOTE: Assume that the u-aris is directed downwards. u(t) Determine the first four times at which the velocity of the mass is zero. NOTE: Enter the eract answers and exclude t = 0 as trivial. The first four times the velocity is zero are t =
Transcribed Image Text:A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 in. and then released, determine the position u(t) in ft of the mass at any time t in seconds. NOTE: Assume that the u-aris is directed downwards. u(t) Determine the first four times at which the velocity of the mass is zero. NOTE: Enter the eract answers and exclude t = 0 as trivial. The first four times the velocity is zero are t =
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