A 24- kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 35- kg package on the ground. What is the magnitude of the least acceleration the monkey must have if it is to lift the package off the ground?

Answer 1

m1=mass of monkey=24kg
m2=mass of package=35 kg

Minimum tension in the rope, T
= m2g
If the monkey has an acceleration of a, then tension produced, T
= m1(g+a)
Thus
m1(g+a) = m2*g
Solve for a.