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Solution 9.2c

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The sum of the forces is zero as the body has constant velocity. This means the sum of the forces in all directions is zero.

Resolving horisontally,

 :42cos30+PQcos45=0

Resolving vertically,

 :25+42sin30Qcos45=0Q=cos4525+42sin30=460.707=65.1 N

Substituting this value for Q in the first equation gives

P=Qcos4542cos30=65.10.707420.866=4636.4=9.6 N