Where Is the Center of Mass in a Triangle with Unequal Masses?

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SUMMARY

The discussion focuses on determining the center of mass for a triangle with unequal masses located at its vertices. The triangle has a side length of L=2.0 m, with two masses of 0.75 kg and one mass of 1.5 kg (twice the value of the others). The center of mass coordinates need to be calculated before the triangle is rotated. Relevant equations for this calculation include the standard formulas for finding the center of mass in a system of particles.

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  • Understanding of center of mass calculations
  • Familiarity with basic physics concepts related to mass and geometry
  • Knowledge of coordinate systems in physics
  • Ability to interpret and apply relevant equations
NEXT STEPS
  • Study the concept of center of mass in systems of particles
  • Learn how to apply the center of mass formula for multiple point masses
  • Explore the effects of mass distribution on the center of mass
  • Review the implications of rotating bodies in physics
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TutaTeacherAllan
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OP warned about not providing an attempt at a solution
Homework Statement
Figure 4 shows three point masses glued to the vertices of a massless triangle of side L=2.0 m. Two of the massess are m=0.75kg and the other mass is twice that value, as shown in the figure. The device is allowed to rotate about point A in a verticle plane about the centre of the larger mass, 2m. Give the x and y coordinates of the centre of mass of the device in the coordinate system
Relevant Equations
Figure 4 shows three point masses glued to the vertices of a massless triangle of side L=2.0 m. Two of the massess are m=0.75kg and the other mass is twice that value, as shown in the figure. The device is allowed to rotate about point A in a verticle plane about the centre of the larger mass, 2m. Give the x and y coordinates of the centre of mass of the device in the coordinate system
Figure 4 shows three point masses glued to the vertices of a massless triangle of side L=2.0 m. Two of the massess are m=0.75kg and the other mass is twice that value, as shown in the figure. The device is allowed to rotate about point A in a vertical plane about the centre of the larger mass, 2m. Give the x and y coordinates of the centre of mass of the device in the coordinate system
 

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"Relevant equations" is for standard equations you think may be relevant to the problem, not a rehash of the question.

Please post an attempt as required by forum rules.
 
I have no Idea how to start please
 
TutaTeacherAllan said:
I have no Idea how to start please
What have you been taught about finding a centre of mass?
 
TutaTeacherAllan said:
I have no Idea how to start please
Welcome, Allan! :smile:
Not using any equation yet:
If the values of the three masses were all the same, let's say 1 kg each, where the center of mass would be located at within the triangle?
Question a) is asking you about the x-y location of the center of mass before the triangle is rotated 45 degrees.

Please, see:
http://hyperphysics.phy-astr.gsu.edu/hbase/cm.html

Please, read about the requirements of the forum about posting questions.
We will be happy to help you if you help us understanding your situation first.
:cool:
 
Last edited:

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