JEE Main 2021 — Laws Of Motion Question with Solution
From: JEE Main 2021 (Online) 1st September Evening Shift
Question
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.
This question includes a diagram. The text above accompanies the figure.
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let acceleration of wedge is aw and acceleration of block w.r.t. wedge is ab
For the wedge w.r.t. ground
N cos60 = Maw = 16aw
N = 32aw
F.B.D. of block w.r.t. wedge
Balancing vertical forces
N = 8g cos30 8aw sin30 32aw = 4g 4aw
aw = g
Along incline plane
8g sin30 + 8aw cos30 = mab = 8ab
ab = g g .
Option (d)
For the wedge w.r.t. ground
N cos60 = Maw = 16aw
N = 32aw
F.B.D. of block w.r.t. wedge
Balancing vertical forces
N = 8g cos30 8aw sin30 32aw = 4g 4aw
aw = g
Along incline plane
8g sin30 + 8aw cos30 = mab = 8ab
ab = g g .
Option (d)
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This is a previous-year question from JEE Main 2021, covering the Laws Of Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.