Small objects are released from rest at A and slide down the smooth circular surface of radius $R$ to a conveyor $B.$

Determine the expression for the normal contact force $N$ between the guide and each object in terms of $$ and specify

the correct angular velocity $$ of the conveyor pulley of radius $r$ to prevent any sliding on the belt as the objects

transfer to the conveyor.

Ans. $N=3$mgsin$$

&

$(1)=\frac{\sqrt[\phantom{2}]{2gR}}{r}$