Applied Mechanics - Engineering

Q1:

If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

A 2 T

B 1/2 T

C 2 T

D 3 T

E none of these.

ANS:C - 2 T

These two forces will be balanced by a force having a magnitude equal to the resultant of these forces.

F = √( t^2 +t^2 +2t^2cos$).
= √( 2t^2) because cos 90 =0.
= √(2) T.