A 12 kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 16 kg package on the ground (see the figure).
(a) What is the magnitude of the least acceleration the monkey must have if it is to lift the package off the ground? If, after the package has been lifted, the monkey stops its climb and holds onto the rope, what are
(b) the magnitude and the direction of the monkey's acceleration (choosing the positive direction up), and
(c) what is the tension in the rope?