Laws of Motion

JEE Main level, single correct, medium

60 of 210

Question 60 of 210

Two fixed frictionless inclined plane making an angle 30∘30^{\circ} and 60∘60^{\circ} with the vertical are shown in the figure. Two block AA and BB are placed on the two planes. What is the relative vertical acceleration of AA with respect to BB ?

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Answer: (D) 4.9 ms−24.9 \mathrm{~ms}^{-2} in vertical direction

mgsin⁡θ=mam g \sin \theta=m a
∴a=gsin⁡θ\therefore \quad a=g \sin \theta
where a\mathrm{a} is along the inclined plane
∴\therefore \quad vertical component of acceleration is gsin⁡2θ\mathrm{g} \sin ^2 \theta
∴\therefore \quad relative vertical acceleration of AA with respect to BB is

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