A solid body starts rotating about a stationary axis with an angular acceleration `alpha=alpha_(0) cos theta`, where `alpha_(0)` is a constant and `theta` is an angle of rotation from the initial position. Find the angular velocity of the body as a function of `theta`.

A solid body starts rotating about a stationary axis with an angular acceleration beta=beta_0cos varphi , where beta_0 is a constant vector and varphi is an angle of rotation from the initial position. Find the angular velocity of the body as a function of the angle varphi . Draw the plot of this dependence.

A solid body starts rotating about a stationary axis with an angular acceleration alpha=(2.0xx10^(-2))t rad//s^(2) here t is in seconds. How soon after the beginning of rotation will the total acceleration vector of an arbitrary point of the body form an angle theta=60^(@) with its velocity vector?

A solid body starts rotating about a stationary axis with an angular acceleration alpha=(2.0xx10^(-2))trad//s^(2) here t is in seconds. How soon after the beginning of rotation will the total acceleration vector of an arbitrary point of the body form an angle theta=60^(@) with its velocity vector?

A solid body starts rotating about a stationary axis with an angular acceleration alpha=kt , where k is a constant. How soon after the beginning of motion will the total acceleration vector of an arbitrary point of the body form an angle 60^(@) with its velocity vector?

A solid body starts rotating about a stationary axis with an angular acceleration beta = at. How soon after the beginning of rotation will the total acceleration vector of a general point on the body form an angle alpha with its velocity vector ?

A solid body rotates with deceleration about a stationary axis with an angular deceleration betapropsqrt(omega) , where omega is its angular velocity. Find the mean angular velocity of the body averaged over the whole time of rotation if at the initial moment of time its angular velocity was equal to omega_0 .

A rigid body rotates about a fixed axis with variable angular velocity equal to alpha-betat , at time t where alpha, beta are constants. The angle through which it rotates before its stops: