A uniform rod of length `L` is rotating about its one end in the horizontal plane under constant aceeleration `alpha` starting from rest. Find the linear velocity of its mid-point after time `t_(0)`. Also, find the normal and tangential components of acceleration of the mid-point of the rod at this instant.

Explanation

All points of rod rotate with the same angular velocity and angular accelertion at an instant.
`omega=omega_(0)+alpha t=0+alpha t`
`v_(M)=(L)/(2)omega=(omegaLt)/(2)`
`a_(n)=omega^(2)(L)/(2)=(alpha^(2) t^(2) L)/(2)`
`alpha_(t)=(L)/(2)alpha`