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JEE Main 2021 (26 Feb, Shift 2) · Connected Bodies & Pulleys

Connected Bodies & Pulleys question from JEE Main 2021 (26 Feb, Shift 2)

Q29JEE Main 2021 · 26 FEB · SHIFT 2Medium

Connected Bodies & Pulleys

Two masses A and B, each of mass M are fixed together by a massless spring. A force acts on the mass B as shown in the figure. If the mass A starts moving away from mass B with acceleration 'a', then the acceleration of mass B will be:

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Answer: (d)

Only the spring acts on A: spring force $= Ma$ .
On B: $F$ outward and the spring force $Ma$ opposite, so $F - Ma = Ma_B$ .
$a_B = \dfrac{F - Ma}{M}$ , so the answer is (d).

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