Question
A wheel 2.0 m in diameter lies in the vertical plane and rotates about its central axis with a constant angular acceleration of 4.0 rad s−2. The wheel starts at rest at t = 0 and the radius vector of a point A on the wheel makes an angle of 60º with the horizontal at this instant. Calculate the angular speed of the wheel, the angular position of the point A and the total acceleration at t = 2.0s.
Answer :
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The equation of motion and angular speed for the point A on the wheel are given by
The wheel starts at the rest, so w0 = 0.
Thus at = 2. 0 s the
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