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Lectures Part#1 - Department of Mechanical Engineering

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-<br />

2nd Order Ordinary Differential Equation<br />

with Constant Coefficients<br />

Divide by<br />

ω<br />

n<br />

=<br />

x(<br />

t)<br />

=<br />

2<br />

m : && x(<br />

t)<br />

+ ω x(<br />

t)<br />

=<br />

k<br />

: natural frequency in rad/s<br />

m<br />

Asin(<br />

ω t + φ)<br />

n<br />

n<br />

0<br />

7

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