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The resultant of two forces acting at an...

The resultant of two forces acting at an angle of `120^(@)` is 10kg wt and is perpendicular to one of the forces. The force is

A

`10 sqrt(3)` kg wt

B

`20 sqrt(3)` kg wt

C

10 kg wt

D

`(10)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
If `vecF_(1) and vecF_(2)` are the forces and resultant `vecR` is perpendicular to `vecF_(1),R=10` kg wt. Then `"tan" 30^(@), (F_(1))/(R)`
`F_(1)=R "tan" 30^(@)=(10)/( sqrt(3))` Kgwt
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