A small $600-$g collar $C$ can slide on a semicircular rod which is made to rotate about

the vertical $AB$ at a constant rate of $7\mathrm{.}5ra\frac{d}{s}.$

Knowing that the coefficients of friction are ${}_s=0\mathrm{.}25$ and ${}_k=0\mathrm{.}20,$ indicate whether the collar will

slide on the rod if it is released in the position corresponding to $=40.$ Determine the magnitude

and direction of the friction force exerted on the collar immediately after release in the position

corresponding to $=40.$

The magnitude of the friction force is

$N,$ and the direction is $$

The collar will slide on the rod if it is released in the position corresponding to $=40.$ Is this true or

false?