Part B $-$ Moment due to a force specified as a Cartesian vector

As shown, a member is fixed at the origin, point $O,$ and has an applied force $F,$ the tension in the rope, applied at the free end, point $B$

$($Figure $2)$

The force is given by $F=110Ni-155Nj+60Nk.$ The dimensions are $x_1=1\mathrm{.}25m,y_1=1\mathrm{.}90m,$ and $z_1=1\mathrm{.}05m$

What is the moment about the origin due to the applied force $F?$

Express the individual components of the Cartesian vector to three significant figures, separated by commas,

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$M_O=[277,40\mathrm{.}5,-403i,j,k]N*m$

Part C $-$ Moment due to two forces

As shown, a member is fixed at the origin, point $O,$ and has two applied forces, $F_1$ and $F_2,$ applied at the free end, point $B.$

$($Figure $3)$

The forces are given by $F_1=95Ni-130Nj+45Nk$ and $F_2$ has magnitude $185$ N and direction angles $=165\mathrm{.}0,=84\mathrm{.}0,$ and $=76\mathrm{.}3.$ The dimensions are $x_1=1\mathrm{.}40m,$

$y_1=1\mathrm{.}85m,$ and $z_1=1\mathrm{.}10m$

What is the moment about the origin due to the applied forces?

Express the individual components of the Cartesian vector to three significant figures, separated by commas.

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