Calculating the center of mass

In summary, the conversation discusses a device with three point masses attached to a massless triangle, with two masses being 0.75kg and the third being twice that value. The device can rotate about a certain point, and the question asks for the x and y coordinates of the center of mass before rotation. The forum rules require the poster to show an attempt at solving the problem.
  • #1
TutaTeacherAllan
2
0
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 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
 

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  • #2
"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.
 
  • #3
I have no Idea how to start please
 
  • #4
TutaTeacherAllan said:
I have no Idea how to start please
What have you been taught about finding a centre of mass?
 
  • #5
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:

1. What is the definition of center of mass?

The center of mass is the point at which the mass of an object or system is evenly distributed in all directions. It is also known as the center of gravity.

2. How is the center of mass calculated?

The center of mass is calculated by finding the weighted average of the positions of all the individual particles or objects in the system. This is done by multiplying the mass of each particle by its position and dividing the sum by the total mass of the system.

3. Why is calculating the center of mass important?

Calculating the center of mass is important because it helps us understand the overall motion and stability of an object or system. It is also used in various fields such as physics, engineering, and astronomy to analyze and predict the behavior of objects.

4. Can the center of mass be outside of an object?

Yes, the center of mass can be outside of an object. This is especially true for irregularly shaped objects where the center of mass may not be located at the geometric center. The center of mass can also be outside of an object if there are external forces acting on it.

5. How does the distribution of mass affect the center of mass?

The distribution of mass has a direct impact on the location of the center of mass. Objects with more mass concentrated towards one side will have a center of mass closer to that side. Similarly, objects with an even distribution of mass will have a center of mass located at the geometric center.

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