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Angular velocity and Acceleration...

Angular velocity and Acceleration

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If a body is rotating such that its angle from a fixed location is given by theta=t^(3)-3t^(2)-6t+3 . Find its angular velocity, angular acceleration, and the time at which its angular velocity is zero.

A particle is moving on a circular path such that at any instant its position vector, linear velocity. Angular velocity, angular acceleration with respect to centre are vec(r),vec(v),vec(w),vec(alpha) respectively. Net acceleration of the particle is :-

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The rod of length l=1 m rotates with an angular velocity omega=2 rads^(-1) an the point P moves with velocity v=1ms^(-1) and acceleration a=1ms^(-2) . Find the velocity and acceleration of Q .

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The angular velocity and angular acceleration of the pivoted rod are given as omega and alpha respectively. Fid the x and y components of acceleration of B .

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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.