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Spring Pendulum Dynamic System - Mechatronics

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Linearized Equations of Motion<br />

k<br />

k<br />

r + r = 0 ω = = 9.76 rad/sec=1.55 Hz<br />

d d 2<br />

m<br />

m<br />

g<br />

g<br />

θ+ θ = 0 ω = = 4.93 rad/sec=0.78 Hz<br />

1<br />

+r + r<br />

s<br />

s<br />

These equations do not predict the motion of the system<br />

except for particular sets of initial conditions !!<br />

<strong>Mechatronics</strong><br />

<strong>Spring</strong>-<strong>Pendulum</strong> <strong>Dynamic</strong> <strong>System</strong><br />

K. Craig<br />

11

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