(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A tractor named A is used to lift a bale B with a system of pulleys.

The tractor has an unknown speed called VA : find the expression of the bale's vertical speed VB in function of x (distance from the tractor to the pulley).

The diameter of both pulleys can be neglected.

2. Relevant equations

I call T the tension in the rope, N the reaction of the ground and W=mg the weight, mA the tractor's mass and mB the bale's mass, aA the tractor's acceleration and aB the bale's acceleration.

In A, I have : horizontally -T*(x/l) = mA * aA

vertically :N - mA*g + N*(h/l) = 0

In B : T - mB*g = mB*aB

3. The attempt at a solution

I've tried to put the problem into some equations, but I don't see how I can switch from accelerations to speed...moreover, I don't have any numeric data, so any piece of information is welcome!

Thanks in advance!

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# Tractor and pulleys - expression of speed

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