Laws of Motion

Question

A monkey weighing 14kg is hanging from rope, which can withstand a maximum tension of 168N. Find the maximum acceleration with which the monkey can climb up along the rope?

Answer

Let, the monkey climb up with an acceleration a.
The tension in the string is, 
                          T = m(g + a)     ... (1)
Here,
Tension in the string, T = 168 N
Mass of the monkey, m = 14 kg
∴ Putting the values in equation (1), we have
                  168 = 14 (9.8 + a)
                      a = 2.2 m/s2, is the maximum acceleration with which the monkey can climb along the rope. 

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