A \(51-\mathrm{kg}\) box is suspended from the right end of a horizontal rod that has very small inertia. The left end of the rod is affixed to a wall by a pin. A wire connects the right end of the rod to the wall directly above the pin, making an angle of \(40^{\circ}\) with the rod.

(a) Calculate the tension in the wire.

(b) Determine the magnitude of the reaction force the pivot exerts on the rod.

(c) Repeat parts \(a\) and \(b\) for a \(10.2-\mathrm{kg}\) rod.