The test rig shown was developed to perform fatigue testing on fitness trampolines. A motor drives the $200-$mm radius flywheel $AB,$ which is pinned at its center point, in a counterclockwise direction with a constant angular velocity of $120$ rpm $.$ The flywheel is attached to slider $CD$ by the $400-mm$ connecting rod $BC.$ The mass of the connecting rod $BC$ is $9\mathrm{.}50$ kg and the mass of the link $CD$ and foot is $6\mathrm{.}500$ kg $.$

At the instant when $=90$ and the foot is just above the trampoline, determine the force exerted by pin $C$ on rod $BC.$

The force exerted by pin $C$ on rod $BC$ is $(2)$ Nuarr.