Christmas quiz - monkey on the rope

Let's have a rope passed over pulley. On one side there is a 50kg weight, on the other 50kg monkey.
What happens when the monkey starts climbing up?

this depends on the friction of the pulley, the inertial resistance of the pulley, the weight of the rope and the magnitude of the force that the monkey is putting on the rope, but for the purposes of the rest of what I'm going to say, I will assume these are all zero (which they cannot be in real life)

the weight on the other side will go up.  the end of the rope on the monkey's side will go down.  the monkey will go up.

why: there is a constant 50(9.8) Newton force on either side of the pulley.  the monkey must then accelerate up.  to do this he must exert an additional force downward on the rope. this will cause the rope the monkey is holding to accelerate downward.  it will also upset the balance of the system, accelerating the weight upward.  a bit rough of an explanation, I'd probibly get points taken off on a test, but it works.

the reality of the situation is more interesting.  if the monkey can accelerate slowly enough that that it's acceleration force is low enough it does not "break" the frictional force, he could theororetically reach the top without either the rope or the weight moving at all.

The monkey also uses energy and thereby loses weight. The balance would be gone.

>>3

but by moving upwards it gains gpe. which means its mass increases. the balance is still gone.

the gravitation potentual gained should equal the chemichal potentual lost (accounting for other losses, of course)

Monkeys can't perfectly convert energy. Some energy will inevitably be lost as heat.

indeed most will as a monkey is warm-blooded.  in warm blooded animals, about 90% of energy is lost to heat.

The balance of the rope itself shifts from equilibrium to balanced in favor of the monkey.  Therefore, as the weight and monkey get closer to the pulley, the weight will reach the top first, just before the monkey does, even after figuring the weight lost by the monkey as it spends energy.  The monkey and the portion of the rope on the monkey's side of the pulley will outweigh the weight and that portion of the rope on the pulley's other side.

The system will rebalance, with the weight at an equal height with the monkey (That's what it wants to do, anyway.  If the monkey keeps climbing up it will keep rebalancing.)

the Monkey takes a shit and becomes lighter. he then proceeds to throw Feces at the wall.

>>10

lol, but the question assumes that the monkey definately climbs up the rope

The monkey will move up at half the rate it pulls the rope down. The fluctuations in the manner in which it pulls the rope will cause the monkey not to accelerate uniformly.

>>1 do your own homwork faggot

I am the monkey and I spit upon your fucking rope!