1.

The resultant ot two forces acting at an angle of ` 15^@` ii ` 10 N` and is peroendicular to one of the forces. The other force is .A. `20 // sqrt 2 N`B. `10 // sqrt 3 N`C. ` 20 N`D. ` 20 sqrt 3 N`

Answer» Correct Answer - C
` 10^@ = A^2 + b^2 +2 AB cos 150^@`
` = A^2 +b^2 - 2 AB ( sqrt 3 //2)` …(i)
` tan 90^@ = ( B sin 150^@)/( A+ B cos ` 15^@) =0`
or ` A+B cos 1 50^@ =0`
or ` A= B xx sqrt 3//3` …(ii)
` From (i), ` 100 = 3/ 4 B^2 + B^@ - ( 3 B^2)/2 = B^2/4`
` or ` B = 20 N`.


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