A 20$20$ kg bag of coffee beans in Indonesia is sitting on the floor. It is attached to a ($($massless)$)$ rope that passes over a ($($frictionless)$)$ pulley, that rope hangs down to the floor. A 15$15$ kg monkey is startled by a komodo dragon, and the monkey climbs the rope accelerating upward. In fact, the monkey is accelerating upward so fast that the bag of coffee beans starts to lift off of the floor! Determine the minimum acceleration of the Monkey necessary for this to happen.

If you don$$t know how to get started, read this; if you can solve the problem without reading this, good for you!

($($a)$)$ Sketch a free body diagram for the bag of beans.

($($b)$)$ Sketch a free body diagram for the Monkey.

($($c)$)$ What can you say about the tension of the rope on the bag and the tension of the rope on the Monkey? ($($d)$)$ Determine the minimum tension that will lift the bag off of the floor.

($($e)$)$ Find the net force on the monkey.

($($f)$)$ Find the acceleration of the monkey.