(a) x(t) M ᎾᎥ I 1 m

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A mass M is free to move without friction on a horizontal track. A pendulum of length l and mass m is connected to mass M, as illustrated in figure (a). Consider that x is the coordinate that
represents the position of M, and let θ be the angle between the pendulum and the vertical.
(i) Find the equations of motion.
(ii) In the limit of small angles, determine x(t) and θ(t)


 

(a) x(t)
M
ᎾᎥ
I
1
m
Transcribed Image Text:(a) x(t) M ᎾᎥ I 1 m
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