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JEE Main 2021 (1 Sep, Shift 2) · Connected Bodies & Pulleys

Connected Bodies & Pulleys question from JEE Main 2021 (1 Sep, Shift 2)

Q31JEE Main 2021 · 1 SEP · SHIFT 2Difficult

Connected Bodies & Pulleys

A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is: Given m = 8 kg, M = 16 kg. Assume all the surfaces shown in the figure to be frictionless.

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Answer: (d)

Block on a free smooth wedge: $a_{rel} = \dfrac{(M+m)g\sin\theta}{M + m\sin^2\theta}$ .
$a_{rel} = \dfrac{(16+8)g(0.5)}{16 + 8(0.25)} = \dfrac{12g}{18}$
$a_{rel} = \dfrac{2}{3}g$ , so the answer is (d).

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