| 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 2010] |
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A) (a)\[4.9\text{ }m{{s}^{2}}\]in vertical direction
B) (b)\[4.9\text{ }m{{s}^{2}}\] in horizontal direction
C) (c)\[9.8\text{ }m{{s}^{2}}\]in vertical direction
D) Zero
Correct Answer: A
Solution :
| [a] \[{{a}_{{{A}_{vertical}}}}=g{{\sin }^{2}}{{60}^{o}}=\frac{3g}{4}\] |
| \[{{a}_{{{B}_{vertical}}}}=g{{\sin }^{2}}{{30}^{o}}=\frac{g}{4}\] |
| So,\[{{a}_{AB}}=\frac{g}{2}=4.9\,m{{s}^{-2}}vertical\] |
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