Question $01$

$($a$)$ Using a suitable sketch, state the Varigons Theorem

$($b$)$ Three forces namely $A,B,$ and C with magnitudes $450N,350N$ and $500$ N respectively are represented in OXYZ space. The forces are acted upon at origin O $,$ as given in Figure Q$1.$ Notice that vec$(OU),$vec$(OV)$ and vec$(OW)$ are in X$-$Z plane.

Figure Q$1$

i$.$ Represent the forces $A_{,}{B}_{?}$ and $C_{?}$ in rectangular components.

ii$.$ Calculate the moment $M_{?}$ around point

$(06$ Marks$)$

iii. Represent the system as a force couple system at R$.$

$(02$ Marks$)$

iv$.$ Represent the system as a force couple system at

$(04$ Marks$)$

$(04$ Marks$)$