A solid body rotates about a stationary axis so that its P angular velocity depends on the rotat...

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A solid body rotates about a stationary axis so that its
P angular velocity depends on the rotation angle \( \varphi \) as \( \omega=\omega_{0}-k \varphi \),

W where \( \omega_{0} \) and \( k \) are positive constants. At the moment \( t=0 \), the angle \( \varphi=0 \). Find the time dependence of (a) angular velocity (b) rotation angle.
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