Problem $13$: $(7\%$ of Assignment Value$)$

A uniform beam of length $L=3\mathrm{.}5m$ and mass $M=21kg$ has its low$$r end fixed to pivot at a point P on the floor, making an angle $=25$ as shown in the diagram. A horizontal cable is attached at its upper end B to a point A on a wall. A box of the same mass $M$ as the beam is suspended from a rope that is attached to the beam one$-$fourth $L$ from its upper end.

Part $($a$)\sqrt[\phantom{2}]{?}$

What is the $y-$component $P_y$ of the force, in newtons, exerted by the pivot on the beam?

$P_y=411\mathrm{.}6$

$$ Correct!

Part $($b$)$

Write an expression for the tension $T$ in the horizontal cable AB $.$

Part $($c$)$

What is the $x-$component $P_x$ of the force, in newtons, exerted by the pivot on the beam?

$P_x=$