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Statement of a problem № 49

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A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle φ as ω = ω0 - aφ, where ω0 and a are positive constants. At the moment t = 0 the angle φ = 0. Find the time dependence of (a) the rotation angle; (b) the angular velocity.

Solution:
A solid body rotates about a stationary axis so that its angular velocity depend

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