$3/96$ A rectangular sign over a store has a mass of $100$ kg $,$

with the center of mass in the center of the rectan$-$

gle. The support against the wall at point $C$ may be

treated as a ball$-$and$-$socket joint. At corner $D$ sup$-$

port is provided in the $y-$direction only. Calculate

the tensions $T_1$ and $T_2$ in the supporting wires, the

total force supported at $C,$ and the lateral force $R$

supported at $D.$

Problem $3/96$