Question $1$

Five force$-$moment couple systems are applied onto the structure as shown in Figure Q$1.$ If the thickness of the structure $($exclude the block where point B located$)$ is negligible,

$($a$)$ determine if any of these couple systems can be defined as a equivalent force$-$couple at A with force $\backslash (\backslash$mathrm$\{$F$\}=\backslash )\backslash (6\backslash$mathrm$\{$i$\}(\backslash$mathrm$\{$N$\})\backslash )$ and moment $\backslash (\backslash$mathrm$\{$M$\}=32\backslash$mathrm$\{$i$\}+28\backslash$mathrm$\{$j$\}+22\backslash$mathrm$\{$k$\}(\backslash$mathrm$\{$Nm$\})\backslash ).$

$($b$)$ calculate the resultant force$-$couple at origin $"$O$"$ as refer to the result from part $($a$).$

Question $2$

A rod BC leans against the wall and is supported by a ball$-$and$-$socket joint at C as shown in Figure Q$2.$ In order

to remain stable, a cable AG is attached to the midpoint of the rod. If the weight of rod is $12$ kg $,$ determine

the tension in the cable and the reactions at B and C$.$ Assuming that the wall is frcitionless.

Question $3$

A sliding crank mechanism is shown in Figure Q$3.$ Assume the system is

equilibrium, find the applied force F on the block A and at reaction force at

support C$.$

Figure Q$3$