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Write the equations of motion for a part...

Write the equations of motion for a particle rotating about a fixed axis.

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Equations of rotational kinematics : If `theta` is the angular displacement, `omega_i` , is the initial angular velocity, `omega_t` is the final angular velocity after a time 't' seconds and `alpha` is the angular acceleration, then the equations of rotational kinematics can be written as,
` omega_t = omega_i + alpha t`
` theta = omega_i t +1/2 alpha t^2`
`omega_t^2 - omega_i^2 = 2 alpha theta`
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