ghing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to the instantaneous velocity. Find the equ equation of motion att) if the s(3t). (Use g- 32 fus? for the acceleration due to gravity.)

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
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A mass weighing 16 pounds stretches a spring
8
feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to
3
1
the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to
2
= 25 cos(3t). (Use g = 32 ft/s for the acceleration due to gravity.)
Transcribed Image Text:A mass weighing 16 pounds stretches a spring 8 feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 3 1 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to 2 = 25 cos(3t). (Use g = 32 ft/s for the acceleration due to gravity.)
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