Equation of motion is given by k F(t) x" +x'+ x= m m m A 10kg mass is attached to a spring having a spring constant k of 140Nm' with an applied external force F(t) = 5sint. Use the method of variation of parameters to find the subsequent motion of the mass x(t), if the force due to resistance b is 90N.

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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this is a non homogenous equation problem solving question.

Q2
(a)
Equation of motion is given by
k
F(t)
x" +x' +-x=
т т
m
A 10kg mass is attached to a spring having a spring constant k of 140NM' with
an applied external force F(t) = 5sin t. Use the method of variation of parameters
to find the subsequent motion of the mass x(t), if the force due to resistance b is
90N.
Transcribed Image Text:Q2 (a) Equation of motion is given by k F(t) x" +x' +-x= т т m A 10kg mass is attached to a spring having a spring constant k of 140NM' with an applied external force F(t) = 5sin t. Use the method of variation of parameters to find the subsequent motion of the mass x(t), if the force due to resistance b is 90N.
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