Q.

Two monkeys M1 and M2 of equal mass 'm' can climb strings of a pulley arrangement as shown in figure. Find magnitude of acceleration (in m/s2) of M1 with respect to rope so that block remains stationary. It is given that M2 is just holding the string. Assume pulley is frictionless and string is massless and inextensible.

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answer is 110.

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Detailed Solution

T=5mga2=5mg−mgm=4gT′=2T=10mga1=10mg−mgm=9gAcceleration of the rope is equal to the acceleration of the moving pulley. Hence acceleration of M1 with respect to ropeaM1, Rope =9g−(−2g)=11g=110m/s2
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