Suppose a 32-pound weight stretches a spring 2 feet. If the weight is released from rest at the equilibrium position, find the equation of motion x(t) if an impressed force f(t) = 24t acts on the system for 0st< 5 and is then removed (see Example 5 in Section 7.3). Ignore any damping forces. (Use g = 32 ft/s2 for the acceleration due to gravity.)

Suppose a 32-pound weight stretches a spring 2 feet. If the weight is released from rest at the equilibrium position, find the equation of motion x(t) if an impressed force f(t) = 24t acts on the system for 0st< 5 and is then removed (see Example 5 in Section 7.3). Ignore any damping forces. (Use g = 32 ft/s2 for the acceleration due to gravity.)

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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Question

Suppose a 32-pound weight stretches a spring 2 feet. If the weight is released from rest at the equilibrium position, find the equation of motion x(t) if an impressed force f(t) = 24t acts on the system for
0 st< 5 and is then removed (see Example 5 in Section 7.3). Ignore any damping forces. (Use g = 32 ft/s2 for the acceleration due to gravity.)
x(t) =
ft

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