A mass of 1 slug is attached to a spring whose constant is 5 in/tt. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 3 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity (4) Assume the mass is driven by an external force equal to fr)-12 cos(2) +3 sin(2) Find the initial conditions (0) 1 ✔R *100-5 27 Find the particular solution
A mass of 1 slug is attached to a spring whose constant is 5 in/tt. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 3 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity (4) Assume the mass is driven by an external force equal to fr)-12 cos(2) +3 sin(2) Find the initial conditions (0) 1 ✔R *100-5 27 Find the particular solution
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 41CT
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find the particular solution
![A mass of 1 slug is attached to a spring whose constant is 5 ib/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 5 ft/s, and the subsequent motion
takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity.
(a) Assume the mass is driven by an external force equal to fr) 12 cos(22) +3 sin(2t).
Find the initial conditions.
(0) 1
(0)
5
✔R
✔1/
Find the particular solution
A
Find the equation of motion of the mass
x()-ecos (21)+3 sin (2)
R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3d83429-261f-4f1e-836d-f34d9e6aca33%2F5f7be694-75d9-4402-8216-7bcd45a6c1e9%2Fmkhczs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A mass of 1 slug is attached to a spring whose constant is 5 ib/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 5 ft/s, and the subsequent motion
takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity.
(a) Assume the mass is driven by an external force equal to fr) 12 cos(22) +3 sin(2t).
Find the initial conditions.
(0) 1
(0)
5
✔R
✔1/
Find the particular solution
A
Find the equation of motion of the mass
x()-ecos (21)+3 sin (2)
R
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