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A solid body rotates about a stationary ...

A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle `varphi` as `omega=omega_0-avarphi`, where `omega_0` and a are positive constants. At the moment `t=0` the angle `varphi=0`. Find the time dependence of
(a) the rotation angle,
(b) the angular velocity.

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