$2\mathrm{.}65$ A $160-kg$ load is supported by the rope$-$and$-$pulley arrangement

shown. Knowing that $=20,$ determine the magnitude and direction of the

force $P$ which should be exerted on the free end of the rope to maintain

equilibrium. $($Hint$.$ The tension in the rope is the same on each side of a

simple pulley. This can be proved by the methods of Chap. $4.)$

$2\mathrm{.}70$ An $1800-N$ load $Q$ is applied to the pulley $C,$ which can roll on

the cable ACB. The pulley is held in the position shown by a second cable

CAD, which passes over the pulley A and supports a load $P.$ Determine

$($a$)$ the tension in cable ACB, $($b$)$ the magnitude of load $P.$