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Q.

A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown in figure. One end of the rope is held by Student A of mass 70 kg, who is at rest on the floor. The opposite end of the rope is held by Student B of mass 60 kg, who is suspended at rest above the floor. The minimum acceleration a0 with which the Student B should climb up the rope to lift the Student A upward off the floor.

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a

13m/s2

b

23m/s2

c

43m/s2

d

53m/s2

answer is D.

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Detailed Solution

For student A to just lift off the floor, tension T in string must be greater than or equal to 700 N.The F.B.D. of student B isApplying Newton's second lawT−mg=ma⇒700−600=6aor a=53m/s2
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A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown in figure. One end of the rope is held by Student A of mass 70 kg, who is at rest on the floor. The opposite end of the rope is held by Student B of mass 60 kg, who is suspended at rest above the floor. The minimum acceleration a0 with which the Student B should climb up the rope to lift the Student A upward off the floor.