$($a$)$ The $200.kgT-$frame has its mase center at $G.$ Calculare the total force supported by the pin at $O$ after the $3-$kN force is appliced to the cable.

Ans. $O=2\mathrm{.}36kN$

$($b$)$ To test the deflection of the uniform $100-kg$ beam the $50-kg$ boy exerts a pull of $150N$ on the rope rigged as thown Compute the force supported by the pin at the hinge $O$

Ans. $F_0=3\mathrm{.}93kN$

$($a$)$ To facilitate shifting the position of a lifting hook when it is not under load, the sliding hanger shown is used. The projections at A and $B$ engage the flanges of a box beam when a load is supported, and the hook projects through a horizontal slot in the beam. Compute the forces at A and $B$ when the hook supports a $300-kg$ mass.

Ans. $A=4\mathrm{.}91kN,B=196kN$

$($b$)$ The weight of the rigid truss ABCDE is small compared with that of the $12-Mg$ mass which it supports. Compute the force in the horizontal link at $B$ and the magniturle of the force supported by the pin joint at $A.$

Ains $A=410kN,B=275kN$