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Two equal forces are acting at a point w...

Two equal forces are acting at a point with an angle of `60^(@)` between them. If the resultant force is equal to `40sqrt3` N, the magnitude of each force is

A

40N

B

20N

C

80N

D

30N

Text Solution

Verified by Experts

The correct Answer is:
A
`R= sqrt(F_(1)^(2) + F_(2)^(2) + 2F_(1) F_(2) cos theta)`
Since, `F_(1)= F_(2)= F " & " theta= 60^(@)`
`rArr 40 sqrt3 = sqrt(2F^(2) + 2F^(2) cos 60^(@))= sqrt(3F^(2))`
`rArr 40 sqrt3= F sqrt3`
`rArr F= 40N`
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