34. A mass of 1 slug is attached to a spring whose constant is 5 lb/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) Find the equation of motion if the mass is driven by an external force equal to f(t) = 12 cos 2t+ 3 sin 2t. (b) Graph the transient and steady-state solutions on the same coordinate axes. (c) Graph the equation of motion. 3 C חי E JUL 13 ப A MacBook Pro Q Search Web % & 27 6 91 ☆ 205 $4 R T Y כ U * 00 8 ( 9 D F G H J C > - K O O L < B N M P
34. A mass of 1 slug is attached to a spring whose constant is 5 lb/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) Find the equation of motion if the mass is driven by an external force equal to f(t) = 12 cos 2t+ 3 sin 2t. (b) Graph the transient and steady-state solutions on the same coordinate axes. (c) Graph the equation of motion. 3 C חי E JUL 13 ப A MacBook Pro Q Search Web % & 27 6 91 ☆ 205 $4 R T Y כ U * 00 8 ( 9 D F G H J C > - K O O L < B N M P
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Math differential equation
Transcribed Image Text:34. A mass of 1 slug is attached to a spring whose constant is 5 lb/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) Find the equation of motion if the mass is driven by an external force equal to
f(t) = 12 cos 2t+ 3 sin 2t.
(b) Graph the transient and steady-state solutions on the same coordinate axes.
(c) Graph the equation of motion.
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