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Calculus / Fundamentals of Differential Equations 8 / Chapter 4.5 / Problem 44E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

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Solved: PROBLEM 44EA mass–spring system is driven by the

Chapter 4, Problem 44E

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QUESTION:

PROBLEM 44EA mass–spring system is driven by the external force g(t) = 2sin 3t + 10 cos 3t. The mass equals 1, the spring constant equals 5, and the damping coefficient equals 2. If the mass is initially located at y(0)=-1, with initial velocity y’(0) =5, find its equation of motion. Figure 4.11 Speed bump

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QUESTION:

PROBLEM 44EA mass–spring system is driven by the external force g(t) = 2sin 3t + 10 cos 3t. The mass equals 1, the spring constant equals 5, and the damping coefficient equals 2. If the mass is initially located at y(0)=-1, with initial velocity y’(0) =5, find its equation of motion. Figure 4.11 Speed bump

ANSWER:

Solution:Step 1:In this problem, we have to find the equation of motion, where we gave the external force g(t) = 5 sint.

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