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AMU Medical AMU Solved Paper-1996

  • question_answer
    Two forces of magnitudes 8 N and 15 N respectively act at a point so as to make the resultant force of 17 N. The angle between the forces has to be

    A)  \[45{}^\circ \]              

    B)  \[60{}^\circ \]

    C)  \[90{}^\circ \]             

    D)  \[120{}^\circ \]

    Correct Answer: C

    Solution :

    : Resultant force \[=17\text{ }N\] \[\therefore \] \[{{R}^{2}}-{{P}^{2}}+{{Q}^{2}}+2PQcos\theta \] or \[{{(17)}^{2}}={{(8)}^{2}}+{{(15)}^{2}}+2.PQcos\theta \] or \[289=64+225+2PQcos\theta \] or \[\cos \theta =0\]          or \[\theta =90{}^\circ \]


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