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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 19

  • question_answer
    A block is dragged on a smooth plane with the help of a rope which moves with a velocity v as shown in figure. The horizontal velocity of the block is:

    A) \[\text{v}\] 

    B)        \[\frac{\text{v}}{\sin \theta }\]  

    C) \[\text{v}\,\sin \theta \]   

    D)        \[\frac{\text{v}}{\sin \theta }\]

    Correct Answer: B

    Solution :

    \[{{x}^{2}}+{{y}^{2}}={{l}^{2}}\] \[2x\frac{dx}{dt}=2l\frac{dl}{dt}\] \[\Rightarrow \,\,\frac{dx}{dt}=\frac{l}{x}\frac{dl}{dt}=\frac{V}{x/l}\Rightarrow V=\frac{V}{\sin \theta }\]


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