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Applied Mechanics - Engineering

Q1:

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are :

A 2 kgf, 3 kgf

B 3 kgf, 4 kgf

C 4 kgf, 5 kgf

D 5 kgf, 3 kgf.

ANS:B - 3 kgf, 4 kgf

First acting 90" angle then = 5^2=p^2 +Q^2.

If acting 60" then=37=p^2+q^2+2pq cos 60"=25+pq.
Then pq=12.
solve it.