Torque Equation and Slope Intercept

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SUMMARY

The discussion focuses on solving torque equations related to a ruler's balance around point B, specifically using the equation Στ = 0. The user struggles to formulate the total torque equation and convert the equation W*x = 0.1*(m*g) into the slope-intercept form y = mx. Key values needed for the torque equation include the forces R and W, which are critical for further calculations. The user has attempted to rearrange the equation but is uncertain about the accuracy of their results, particularly the value of 0.42 derived from their calculations.

PREREQUISITES
  • Understanding of torque and its calculation (Torque = Force x Distance)
  • Familiarity with the concept of equilibrium (Στ = 0)
  • Knowledge of algebraic manipulation to convert equations into slope-intercept form
  • Basic principles of physics related to forces and moments
NEXT STEPS
  • Review the principles of torque and equilibrium in physics
  • Learn how to derive torque equations for various scenarios
  • Practice converting equations into slope-intercept form using different examples
  • Explore graphical representations of torque and forces for better understanding
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of torque equations and their applications in real-world scenarios.

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Homework Statement


The four highlighted questions are the ones that I am having trouble with. Unfortunately, the second question in both sections builds upon the first so its hard to go any further but I would know how to solve the second part if I could create the equation. In the first procedure it asks to create an equation for the total torque. I understand it must be equal to zero but not the values that must go on the right side of it. I do know though how to solve for the values (which should be R and W), after the equation is created.
The question was stated as "Use the forces of torque acting on the ruler about point B (when center of gravity is equal 4.) Then create an equation using Στ = 0 this should be labeled equation 3.
The second question requests that the equation originally created (W*x=.1*(m*g)) be converted into y=mx.
The question was stated as, "write the equation in y=mx."
I attached 3 .jpg to show the work I have already done, as well as to provide a background of the nature of the question.


Homework Equations



y=mx
∑\tau=0

The Attempt at a Solution


In the first procedure it asks to create an equation for the total torque. I understand it must be equal to zero but not the values that must go on the right side of it. I do know though how to solve for the values (which should be R and W), after the equation is created.
The second set of directions in procedure two ask to make the equation I had made in part one (W*x=.1*(m*g)) into y=mx. In the equation previously sated, I thought the x was the dependent variable and m was the independent variable, leaving W to be the part of the slope. I rearranged the equation several times and got the value of .42 as the answer which doesn't seem right according to the graph that corresponds to it. If I can get help on the equation portion the second two questions will be much easier to solve. Thank you for your time.
 

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Question (vi) says..

"Take the torques of all the forces acting on the ruler about point B when GC=4".

A torque is a force multiplied by a distance, so perhaps start by making a list of forces and their distance from B?
 

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