Finding Forces and Work in a Pulley System

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Homework Help Overview

The discussion revolves around a problem involving a pulley system where a box with weight WA is to be lifted at a constant speed. Participants are tasked with finding the force required to lift the box and calculating the work done by various forces in the system, under the assumption that the pulleys and strings are frictionless and massless.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the tensions in the ropes and the forces involved, with one participant attempting to derive expressions for the forces and work done. Questions regarding the assumptions of constant speed and the implications for acceleration are also raised.

Discussion Status

Some participants have provided insights into the relationships between the forces and the constraints of the system. There is acknowledgment of the correctness of certain calculations, but the discussion remains open with further exploration of the implications of these relationships.

Contextual Notes

Participants are working under the constraints of the problem statement, which specifies that the pulleys and strings are frictionless and without mass. The requirement to maintain constant speed is a key aspect of the discussion.

gunni91
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Homework Statement



Need some serious help with this one :O

A box with a weight WA hangs in pulleys ,(see figure 1). Find the force to pull A up with constant speed and calculate the work which the tractive force F produces ( with the movement of s) and also the work and tractive force T1 produce .
Pulleys and strings are frictionless and both without mass!.

pulley.jpg


Homework Equations






The Attempt at a Solution

 
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What have you tried so far?

ehild
 
gunni91 said:

Homework Statement



Need some serious help with this one :O

A box with a weight WA hangs in pulleys ,(see figure 1). Find the force to pull A up with constant speed and calculate the work which the tractive force F produces ( with the movement of s) and also the work and tractive force T1 produce .
Pulleys and strings are frictionless and both without mass!.

pulley.jpg


Homework Equations






The Attempt at a Solution


taikng tensions ,T1=4F
and taking constrained motion,
acc. of pulling end=4 times acc. of wA
differentiating that we get s=4s1
therefore work done by F=Fs
work done by T1=T1s1=4F x s/4=Fs

correct me if i m wrong,i just tried.
 
The result is correct. Balance of forces gives that WA=T1=4F. The question is the force needed to move the load with constant speed, so write out that F=WA/4.
The mass moves with constant speed so there is no acceleration. The constraints apply for the displacements and changes of length of the pieces of the ropes, but not for the non-existent accelerations. You can say that moving the end of the left rope by s will cause the other two pieces shorten by s/2 so the middle pulley raises by s/2. In the same way, raising the end of the right rope by s/2 lifts the right pulley by s/4.

ehild
 
thank you echild.
 
sorry didn't see the name
properly,very sorry.thanks ehild!
 
ErwinMoses said:
sorry didn't see the name
properly,very sorry.thanks ehild!

You are welcome :smile:

ehild
 

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