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
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.