Do not round intermediate answers. Give your final answer$($s$)$ to three decimal places. Check your units.

While using a pencil sharpener, a student applies the forces and couple shown.

$($a$)$ Determine the forces exerted at $B$ and $C$ knowing that these forces and the couple are equivalent to a force$-$couple system

at A consisting of the force $R=(9\mathrm{.}9lbs)i+R_{y}j-(4\mathrm{.}1lbs)k$ and the couple $M_A^{R_A}=M_{x}i+(3\mathrm{.}6lbs-ft)j-(3\mathrm{.}4lbs-ft)k.$

$($b$)$ Find the corresponding values of $R_y$ and $M_x.$

$B=$

$Cx=$

lbs i

$Cy=$

lbsj

$Cz=\sqrt[\phantom{2}]{\text{I}}bsk$

$Ry=$

$Mx=,lbsj$

$q,lbs-$fti