A 12 kg monkey climbs a light rope as shown in figure. The rope passes over a pulley and is attached to a 16 kg bunch of bananas. Mass and friction in the pulley are negligible so that the pulley's only effect is to reverse the direction of the rope. What is the maximum acceleration the monkey can have without lifting the bananas?

Explanation

As monkey is lifint upward so effective weight of monkey `W_(m)=M_(m)(g+a)`
As per given condition `W_(m)=W_(b)rArrM_(m)(g+a)=M_(b)g`
`rArra=((M_(b)-M_(m))g)/(M_(m))=((16-12)/(12))xx9.8=(9.8)/(3)=3.26 m//s^(2)`