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Calculus / Fundamentals of Differential Equations 8 / Chapter 4.9 / Problem 11E

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

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QUESTION:

PROBLEM 11EAll problems refer to the mass–spring configuration depicted in Figure 4.1, page 153. A 1-kg mass is attached to a spring with stiffness 100 N/m. The damping constant for the system is 0.2N-sec/m. If the mass is pushed rightward from the equilibrium position with a velocity of 1 m/sec, when will it attain its maximum displacement to the right?

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QUESTION:

PROBLEM 11EAll problems refer to the mass–spring configuration depicted in Figure 4.1, page 153. A 1-kg mass is attached to a spring with stiffness 100 N/m. The damping constant for the system is 0.2N-sec/m. If the mass is pushed rightward from the equilibrium position with a velocity of 1 m/sec, when will it attain its maximum displacement to the right?

ANSWER:

Solution:Step 1:Here we have to find the time at which the mass spring system will achieve its maximum displacement.

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