$14-11$ A small block $B$ rotates with the horizontal turntable $A.$ The

distance between the block and the axis of rotation is $r=3in.$; the

angular acceleration of the turntable is $=$

$5ra\frac{d}{s^2}=$ constant; and the initial angular

velocity is zero. Determine

a$.$ The time $t_1$ when the normal and tangential

components of the acceleration of the block

are equal.

b$.$ The number of revolutions $N$ of the turntable

between $t=0$ and $t=t_1.$

c$.$ The angular velocity of the turntable at

$t=t_1.$

$!$ Please find all the answers $($a$,$b$,$c$)$