A $50\mathrm{.}0-kg$ mass person stands on a rod, a distance three$-$fourths of the rod length from the end on the floor. $($Note: The uniform rod $($mass $=20\mathrm{.}0kg)$ is supported by the floor at one end and bv a vertical rope at the other

$($a$)$ Determine tension in the rope.

$($b$)$ Determine the magnitude of the force that the floor exerts on the road.