JEE Main & Advanced Physics Vectors Question Bank Lamis Theorem

  • question_answer
    A body is in equilibrium under the action of three coplanar forces P, Q and R as shown in the figure. Select the correct statement                                           [AFMC 1994]

    A)                 \[\frac{P}{\sin \alpha }=\frac{Q}{\sin \beta }=\frac{R}{\sin \gamma }\]

    B)                                 \[\frac{P}{\cos \alpha }=\frac{Q}{\cos \beta }=\frac{R}{\cos \gamma }\]

    C)                 \[\frac{P}{\tan \alpha }=\frac{Q}{\tan \beta }=\frac{R}{\tan \gamma }\]

    D)                                 \[\frac{P}{\sin \beta }=\frac{Q}{\sin \gamma }=\frac{R}{\sin \alpha }\]

    Correct Answer: A

    Solution :

                        According to Lami's theorem                 \[\frac{P}{\sin \alpha }=\frac{Q}{\sin \beta }=\frac{R}{\sin \gamma }\]


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