Example $5\mathrm{.}2$ A crate of mass $200$ kg is to be supported by a rope and pulley arrangement as

shown in Figure $5\mathrm{.}7($a$).$ Determine the minimum required magnitude of force $F.$ Also, find the

direction of force $F.$

$($a$)$

Figure $5\mathrm{.}7$ Example $5\mathrm{.}2.$