JEE Main & Advanced AIEEE Solved Paper-2010

  • question_answer
    Two fixed frictionless inclined planes making an angle\[30{}^\circ \]and\[60{}^\circ \]with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B?       AIEEE  Solved  Paper-2010

    A) \[4.9\text{ }m{{s}^{2}}\]in vertical direction

    B) \[4.9\text{ }m{{s}^{2}}\] in horizontal direction

    C) \[9.8\text{ }m{{s}^{2}}\]in vertical direction

    D) Zero

    Correct Answer: A

    Solution :

    \[{{a}_{{{A}_{vertical}}}}=g{{\sin }^{2}}{{60}^{o}}=\frac{3g}{4}\] \[{{a}_{{{B}_{vertical}}}}=g{{\sin }^{2}}{{30}^{o}}=\frac{g}{4}\] So,\[{{a}_{AB}}=\frac{g}{2}=4.9\,m{{s}^{-2}}vertical\]


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