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Statement of a problem № 46

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A solid body rotates about a stationary axis according to the law φ = at - bt3, where a = 6.0 rad/s and b = 2.0 rad/s3. Find: (a) the mean values of the angular velocity and angular acceleration averaged over the time interval between t = 0 and the complete stop; (b) the angular acceleration at the moment when the body stops.

Solution:
A solid body rotates about a stationary axis according to the law φ = at - bt3,

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