Using a forked rod, a $0\mathrm{.}5-$kg smooth peg P is forced

to move along the vertical slotted path r $=(0\mathrm{.}5$ u$)$ m$,$ where u

is in radians. If the angular position of the arm is

u $=($

p

$8$ t

$2$

$)$ rad, where t is in seconds, determine the force of

the rod on the peg and the normal force of the slot on the

peg at the instant t $=2$ s$.$ The peg is in contact with only

one edge of the rod and slot at any instant.