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JEE Main 2022 (27 Jun, Shift 1) · Two-Body Friction

Two-Body Friction question from JEE Main 2022 (27 Jun, Shift 1)

Q3JEE Main 2022 · 27 JUN · SHIFT 1Easy

Two-Body Friction

A system of two blocks of masses m = 2 kg and M = 8 kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5. The maximum horizontal force F that can be applied to the block of mass M so that the blocks move together will be:

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Answer: (c)

Only friction accelerates m, so its maximum acceleration is $a = \mu_s g = 0.5 \times 9.8 = 4.9$ m/s $^2$ .
Both move together with this $a$ : $F = (M+m)a = 10 \times 4.9$
$F = 49$ N, so the answer is (c).

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