Exams › JEE Advanced › Physics
A monkey of mass 50 kg climbs a rope. The rope can withstand a maximum tension of 350 N. The monkey first climbs down with an acceleration of 4 m/s², then climbs up with an acceleration of 5 m/s². Take g = 10 m/s². Which of the following statements is correct?
- Tension T = 700 N while climbing upward
- Tension T = 350 N while going downward
- The rope will break while climbing upward
- The rope will break while going downward
Correct answer: The rope will break while climbing upward
Solution
While climbing up: the net upward force equals ma. Tension acts up, weight acts down. T - mg = ma, so T = m(g+a) = 50*(10+5) = 750 N. This exceeds the maximum tension of 350 N, so the rope breaks. While climbing down: mg - T = ma (monkey accelerates downward), T = m(g-a) = 50*6 = 300 N < 350 N, so the rope is safe.
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