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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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