InterviewSolution
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InterviewSolution
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The sum of two forces at a point is 16N. if their resultant is normal to the smaller force and has a magnitude of 8N, then two forces areA. ` 6 newton and 10 newton `B. ` 8 newton and `8` newton `C. `4 newton and `12` newton `D. `2` newton and `14` newton |
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Answer» Correct Answer - A Here, ` A+ B= 16` …..(i) ` sqrt (a^2 + b^2 + 2 AB cos theta ) = 8 ` …(ii) and ` tan 90^@ = ( B sin theta)/(A+ B cos theta)` ` or ` A= B cos theta = (B sin theta) /( tan 90^@) =0` or ` B cos theta =- A` or cos theta =- B//A` From ` (ii) , A^2 + B^2 + 1 AB (- B//A) = 64` or ` A^2 - B^2 = 64` ....(iii)` solving (i) and (iii) , we get ` ` A= 10 N ` and ` B = 6 N`. |
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