How Do You Calculate the Distance for Torque Equilibrium?

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SUMMARY

The discussion focuses on calculating the distance for torque equilibrium involving two objects with masses of 2.4 kg and 4.0 kg. The total mass is 6.4 kg, leading to a balanced torque scenario where the mass on each side of the pivot must equalize. The user initially miscalculated the distance, arriving at 1.38 m from the left side, which was incorrect. The correct approach involves equating the clockwise torque from the center of masses to the counterclockwise torque at the pivot to accurately determine the distance d.

PREREQUISITES
  • Understanding of torque and its calculation (T = rf)
  • Basic principles of equilibrium in physics
  • Knowledge of center of mass concepts
  • Ability to solve algebraic equations
NEXT STEPS
  • Study the principles of torque equilibrium in detail
  • Learn how to calculate the center of mass for composite objects
  • Explore examples of torque problems in physics textbooks
  • Practice solving equilibrium problems involving multiple masses
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Students studying physics, particularly those focusing on mechanics and torque, as well as educators looking for examples of torque equilibrium problems.

JamesEarl
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Homework Statement



The two objects in the figure below are balanced on the pivot, with m = 2.4 kg. What is the distance d?

http://www.webassign.net/knight/p13-27alt.gif


Homework Equations



T=rf

The Attempt at a Solution



2.4kg + 4.0 kg= 6.4kg
6.4kg/2= 3.2kg on each side of pivot
Looking at the right half, 1.2kg+4kg= 5.2kg.
3.2kg/5.2kg * 1m = 0.615 m from right side
So 1.38 m from left side = d...THIS ANSWER IS WRONG

Basically, I understand all the main concepts, I got everything else on my homework right, but for some reason this problem has me stuck. Any help would be appreciated!
 
Physics news on Phys.org
Find the torque by the center of masses about the left end.
From the left end center of masses produce clockwise torque.
The reaction of the center of masses on pivot produce counterclockwise torque. Equate them to find d.
 

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