Is my diagram correct? If so, have I made the moments equation correctly?

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Discussion Overview

The discussion revolves around the calculation of reaction forces in a structural system involving a pulley and a mass being lifted. Participants are evaluating the correctness of a diagram and the associated moments equation, focusing on the accuracy of the calculated reaction forces.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a problem involving a mass being lifted and requests verification of their calculated reaction forces (Rax and Rcx) and moments equation.
  • Another participant questions the relationship between tension (T) and the weight of the mass (mg), suggesting T = mg.
  • There is a discussion about whether any of the reaction components might be zero, indicating a need for further calculations to determine this.
  • A participant named Dory suggests that the initial calculations for Rax and Rcx are nearly correct but emphasizes the importance of maintaining significant digits to improve accuracy in the results.
  • Participants express uncertainty about the implications of rounding numbers too much and its effect on the accuracy of the answers.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correctness of the diagram or the moments equation. There are multiple viewpoints regarding the calculations and the significance of rounding in achieving accurate results.

Contextual Notes

Participants highlight the potential inaccuracies due to rounding and the need for significant digits in calculations, but do not resolve the specific values of Rax and Rcx or the moments equation.

Who May Find This Useful

This discussion may be useful for students or individuals working on structural mechanics problems, particularly those involving reaction forces and moments in systems with pulleys.

Femme_physics
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Homework Statement




Through pulley B, set upon structure ABC, a mass (m) of 2 tons is being lifted in constant velocity. The beam AB is horizontal. Calculate the reaction forces at the beams. Ignore friction at pulley.

http://img225.imageshack.us/img225/4750/236shrinked.jpg


Answers:

Ta = 53.6 [kN]
Tc = 73.2 [kN]

Homework Equations



(all written in question)

The Attempt at a Solution



Attached...I keep getting stuck since pass this point I'm not getting the right scores... I'd like to know if my Rax and Rcx are correct at least? Is my moment equation accurate?
 

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What do you think is the value of T in relation to mg?
 
T = mg
 
Do you think that any of the four reaction components might be zero?
 
Dory: Rax and Rcx are almost correct. The only problem is, you are rounding numbers too much, making your answers inaccurate.

Generally always maintain at least four significant digits throughout all your intermediate calculations, then round only the final answer to three significant digits, unless the first significant digit of the final answer is 1, in which case round the final answer to four significant digits.
 
pongo38 said:
Do you think that any of the four reaction components might be zero?

I guess that would require calculations. I can't say off the top of my hat...can...you?


nvn said:
Dory: Rax and Rcx are almost correct. The only problem is, you are rounding numbers too much, making your answers inaccurate.

Generally always maintain at least four significant digits throughout all your intermediate calculations, then round only the final answer to three significant digits, unless the first significant digit of the final answer is 1, in which case round the final answer to four significant digits.

You're right, I figured that was my downfall in this question...thanks nvn :)
 

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