Solving for Velocity on a Pulley System

AI Thread Summary
The discussion focuses on solving for the velocities in a pulley system, where pulleys A and C have zero velocity. The right rope on pulley A is identified as moving upward at 120 mm/s, while the left rope's direction is debated. Participants emphasize the need to apply the velocity equation to each pulley sequentially, particularly noting the relationship between the velocities of the ropes. There is confusion regarding the velocity of pulley B and the notation used for different rope segments. The conversation concludes with a suggestion to label the ropes clearly and establish equations for each pulley before attempting to solve them.
RoyalFlush100
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Homework Statement


In the picture below.

Homework Equations


Velocity on a pulley = (velocity on left rope + velocity right rope)/2
Pulley A and C have 0 velocity.

The Attempt at a Solution


By inspection the right sided rope on pulley A is 120 mm/s going up.
After that is when I get confused. Pulley B and D are in motion, so I don't see what else to do from here.
 

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RoyalFlush100 said:
left sided rope on pulley A is 120 mm/s going up.
Looks like down to me.
RoyalFlush100 said:
Velocity on a pulley = (velocity on left rope + velocity right rope)/2
So apply that to each pulley in turn, working from the left.
What does it tell you about the velocity of the second rope segment (the one on the right of pulley A)?
 
haruspex said:
Looks like down to me.

So apply that to each pulley in turn, working from the left.
What does it tell you about the velocity of the second rope segment (the one on the right of pulley A)?

Yeah, I meant the rope to the right.

But still, we don't know vB, meaning we'd have:
vB = (150+vBR)/2
Where vBR is the velocity on the right of pulley B.
By inspection vCL = -vBR

But from here, I'm not sure how to proceed since vB is not 0
 
RoyalFlush100 said:
Yeah, I meant the rope to the right.
Ok.
I feel your notation is going to get a bit confusing since you will have two names for the same rope.
I'll just label them and their velocities a to e across the top, and the segment left of the lowest pulley is f.
You already have a=-b.
Next, look at pulley C. What equation can you write for that? Then move on to pulley B.
You don't need to solve these equations, determining velocities, as you go along. Just get all the equations written first.
 
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