N A spring-mass system has a spring constant of 3 A mass of 2 kg m is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of 15 cos(3t) – 10 sin(3t) N, determine the steady-state response in the form Rcos(wt – 8). R = W =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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N
A spring-mass system has a spring constant of 3 =. A mass of 2 kg
m
is attached to the spring, and the motion takes place in a viscous
fluid that offers a resistance numerically equal to the magnitude of
the instantaneous velocity. If the system is driven by an external
force of 15 cos(3t) – 10 sin(3t) N, determine the steady-state response
in the form Rcos(wt – 8).
R
W =
8 =
Transcribed Image Text:N A spring-mass system has a spring constant of 3 =. A mass of 2 kg m is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of 15 cos(3t) – 10 sin(3t) N, determine the steady-state response in the form Rcos(wt – 8). R W = 8 =
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