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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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