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 wheel rotates around a stationary axis so that the rotation angle theta varies with time as theta=2t^(2) radian. Find the total acceleration of the point A at the rim at the moment t=0.5 s If the radius of wheel is 1 m .

A solid body rotates about a stationary axis accordig to the law theta=6t-2t^(3) . Here theta , is in radian and t in seconds. Find (a). The mean values of thhe angular velocity and angular acceleration averaged over the time interval between t=0 and the complete stop. (b). The angular acceleration at the moment when the body stops. Hint: if y=y(t) . then mean/average value of y between t_(1) and t_(2) is ltygt=(int_(t_(1))^(t_(2))y(t)dt))/(t_(2)-t_(1))

Angular displacement ( theta ) of a flywheel varies with time as theta=2t+3t^2 radian. The angular acceleration at t=2s is given by

A wheel rotates around a stationary axis so that the rotation angle theta varies with time as theta=at^(2) where a=0.2rad//s^(2) . Find the magnitude of net acceleration of the point A at the rim at the moment t=2.5s if the linear velocity of the point A at this moment is v=0.65m//s .

Angular displacement (theta) of a flywheel varies with time as theta = at+bt^(2)+ct^(3) then angular acceleration is given by

The angular displacement of a flywheel varies with time as theta = at + bt^(2)-ct^(3) . Then the angular acceleration is given by

A solid body rotates with angular velocity vecomega=3thati+2t^(2) hatj rad//s . Find (a) the magnitude of angular velocity and angular acceleration at time t=1 s and (b) the angle between the vectors of the angular velocity and the angular acceleration at that moment.

The angular position of a point on the rim of a rotating wheel is given by theta=4t^(3)-2t^(2)+5t+3 rad. Find (a) the angular velocity at t=1 s , (b) the angular acceleration at t=2 s . (c ) the average angular velocity in time interval t=0 to t=2 s and (d) the average angular acceleration in time interval t=1 to t=3 s .

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 ?