JEE Main Physics question
Three blocks A, B and C, each of mass m, hang over three separate frictionless, massless pulleys. In case (1), block A is pulled by a downward force F = 2mg applied to the free end of its string; in case (2), block B's string instead passes over its pulley to a hanging mass 2m on the other side; in case (3), block C's string passes over its pulley to a hanging mass 3m on the other side. If a₁, a₂ and a₃ are the resulting accelerations of A, B and C respectively, then
Solution
Case (1): the string is pulled directly by a force F = 2mg, so the tension throughout equals 2mg; for A, 2mg − mg = ma₁ ⟹ a₁ = g. Case (2): B (mass m) and a hanging mass 2m form an
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