A solid body rotest about a stationary axis, so that its angular velocity depends on the rotational angle `phi` as `omega=omega_(0)-kphi` where `omega_(0)` and K are postitive constatns. At the moment `t=0,phi=0` Find the dependence of rotaions angle.

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.

A solid body rotates about a stationary axis so that its angular velocity depends upon the rotation angle phi as omega - omega_(0) = aphi , where a and omega_(0) are positive constants. Initially that is at t = 0 , phi = 0 .

A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle  as   = 0 – k , where    0 and k are positive constants. At the moment t = 0, the angle  = 0. Find the time dependence of rotation angle -

Angular momentum of a rigid body rotating about a fixed Axis with angular velocity vec omega

A solid body rotates about a stationary axis so that the rotation angle theta varies with time as theta=6t-2t^(3) radian. Find (a) the angular acceleration at the moment when the body stops and (b) the average value of angular velocity and angular acceleration averaged over the time interval between t=0 and the complete stop.

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 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 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 rod is rotating with angular velocity omega about axis AB. Find costheta .