Problem $2$b$.1$

The $80$ lb boy stands on the beam and pulls on the rope with a force of $40lb.({}_s{)}_D=0\mathrm{.}4$ and $({}_k{)}_D=0\mathrm{.}35$ between his shoes and the beam. The beam has a weight of $0\mathrm{.}641l\frac{b}{?}$ in all along it's length. Neglect the thickness of the beam. Also neglect the size of the pulleys $($i$.$e$.$ assitne the rope acts at points $F$&$G).$

a$)$ Is the boy stationary or slipping?

b$)$ Determine the beam support reactions at A and $B.$

Answers: $N_A=468lb$;$R_B=231lb$