Two pulleys system (please check my work)

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Homework Help Overview

The problem involves a two-pulley system where the goal is to find the acceleration of the system. The setup includes a massless rope and a mobile pulley with a specified weight, and participants are analyzing the forces acting on the system.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to derive equations based on the forces acting on two weights in the system. Some participants question the correctness of the tension calculations and the resulting acceleration. Others express a desire for further clarification on the solution process.

Discussion Status

Contextual Notes

Participants note the importance of using consistent units, particularly converting mass from grams to kilograms for calculations involving force in Newtons.

fishingspree2
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Homework Statement


Find the acceleration of the system
http://img266.imageshack.us/img266/4904/2pulleyszw9.jpg
The rope is massless
The mobile pulley is not massless, it weighs 20 grams.
Find the accelereation of the system

Homework Equations


F=mg
F=ma
g = 9.8

The Attempt at a Solution



for W1:
Fy = 2T-W1 = ma
2T-(500+20)*g = (500+20)*a
2T-520g = 520a (equation 1)

for W2:
Fy = W2-T=ma
300g-T=300a
T = 300(g-a) (equation 2)

equation 2 in equation 1 gives
a = 1,43


Is it correct?
 
Last edited by a moderator:
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i don't think it's correct.. i think there is an error in the tensions, but i don't see
 
Last edited:
can someone help me?
I really want to know how to do this =(
 
The equations seem to be OK. The solution is not. Try to solve again the two equations.
If you show how you solve them I can try to find the mistake, if any.
Be careful with the units. If you want to get the tension in Newtons, the mass should be in kg.
 

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