A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25kg. What is the maximum acceleration with which monkey can climb up along the rope?
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A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25kg. What is the maximum acceleration with which monkey can climb up along the rope?
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The rope will not break unto 20kg it means it is its tension.
Thus balance condition
is T-mg=ma
25g-20g= 20a (g=10) thus on solving a=50/20= 2.5m/s^ (ans)
So this monkey can have max acceleration of2.5 if he really wants to climb the tree
Let the Monkey be climbing up with an acceleration 'a'.
Tension in string =m(g+a)
=Breaking force
20(g+a)=25×g
a=g4
=104
=2.5m/s2