(a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem #3:
A 70 lb weight stretches a spring 10 feet. The weight
hangs vertically from the spring and a damping force
numerically equal to √5 times the instantaneous
velocity acts on the system. The weight is released from 5
feet above the equilibrium position with a downward
velocity of 23 ft/s.
(a) Determine the time (in seconds) at which the mass
passes through the equilibrium position.
(b) Find the time (in seconds) at which the mass attains its
extreme displacement from the equilibrium position.
Transcribed Image Text:Problem #3: A 70 lb weight stretches a spring 10 feet. The weight hangs vertically from the spring and a damping force numerically equal to √5 times the instantaneous velocity acts on the system. The weight is released from 5 feet above the equilibrium position with a downward velocity of 23 ft/s. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.
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