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Statement of a problem № 56

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A solid body rotates with angular velocity ω = ati + bt2j, where a = 0.50 rad/s2, b = 0.060 rad/s3, and i and j are the unit vectors of the x and y axes. Find: (a) the moduli of the angular velocity and the angular acceleration at the moment t = 10.0 s; (b) the angle between the vectors of the angular velocity and the angular acceleration at that moment.

Solution:
A solid body rotates with angular velocity ω = ati + bt2j, where a = 0.50 rad/s

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