$1391.$ Using a forked rod, a $0\mathrm{.}5-$kg smooth peg P is forced to move along the vertical slotted path $$r$=0\mathrm{.}5$$$m$,$ where is in radians. If the angular position of the arm is $$$=$$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.