A 36 lb weight stretches a spring 6 feet. The weight hangs vertically from the spring and a damping force numerically equal to 3√3 times the instantaneous velocity acts on the system. The weight is released from 3 feet above the equilibrium position with a downward velocity of 13 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.
A 36 lb weight stretches a spring 6 feet. The weight hangs vertically from the spring and a damping force numerically equal to 3√3 times the instantaneous velocity acts on the system. The weight is released from 3 feet above the equilibrium position with a downward velocity of 13 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.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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![Problem #3: A 36 lb weight stretches a spring 6 feet. The weight hangs vertically from the spring and a damping force
numerically equal to 3√3 times the instantaneous velocity acts on the system. The weight is released from 3 feet
above the equilibrium position with a downward velocity of 13 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1652026a-6ba6-42d7-9e35-ad3e7516e1ec%2F0904163c-160e-4db4-aed9-713014f316af%2Fyv02w6tl_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #3: A 36 lb weight stretches a spring 6 feet. The weight hangs vertically from the spring and a damping force
numerically equal to 3√3 times the instantaneous velocity acts on the system. The weight is released from 3 feet
above the equilibrium position with a downward velocity of 13 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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