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Uniform Circular Motion and Simple Harmonic Motion

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A ball rolls on a circular track of radius 0.50 m with a constant angular speed of 1.3 rad/s. If the angular position of the ball at t = 0 is theta = 0, find the x component of the ball's position at the times 2.5 s, 5.0 s and 7.5 s.

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Solution Summary

The uniform circular motion and simple harmonic motion are determined. In four steps, the problem is solved.

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Step 1)
The angular acceleration is related to the initial and final angular velocities:

w = wo + alpha*t = 0 + alpha*t (initial angular ...

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