A ball starts moving in a circular slot with angular acceleration `alpha = 2 rad //s^2 ` at t=0 The angle between its velocity and acceleration varies with time as

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.

A particle starts with constant angular acceleration of "2 rad/s"^(2) in a circle of radius 4m. Find angle between net acceleration and radial acceleration after 2 s :-

On a train moving with acceleration 10 m//s^(2) , a ball starts rolling on floor of train along the width of the train with angular acceleration 2 rad//s^(2) , radius of ball is 1m . Find the acceleration of the top point of ball at the time t=3s as seen from ground

A particle is moving in a circle of radius 0.3 . Calculate its linear acceleration at the instant when its angular velocity is 1rad//s and angular acceleration is 4rad//s^(2)

A particle is in circular motion with an acceleration alpha=0.2rads^(-2) . (a) What is the angular displacement made by the particle after 5 s? (b) What is the angular velocity at 15 s?. Assume the initial angular velocity is zero.

A body rotates about a fixed axis with an angular acceleration of 3 rad//s^(2) . The angle rotated by it during the time when its angular velocity increases frm 10 rad/s to 20 rad/s (in radian) is

A particle starting from rest moves with a constant angular acceleration alpha in a circular path. The time at which the magnitudes of tangential and radial acceleration are equal is -

A particle starts moving at t = 0 in a circle of radius R = 2m with constant angular acceleration of a - 3 "rad/sec"^(2) . Initial angular speed of the particle is 1 rad/sec. At time t_(0) the angle between the acceleration vector and the velocity vector of the particle is 37^(@) . What is the value of t_(0) ?