Where is the Center of Mass Located in a System of Two Unequal Rods?

In summary, the center of mass of a system is a point that represents the average position of all the mass in the system. It can be calculated by taking the sum of individual masses multiplied by their respective distances from a chosen origin point, and then dividing by the total mass of the system. This concept is important in simplifying complex systems and understanding the motion and stability of objects. It can also be located outside of the physical boundaries of the system and affects the system's motion by acting as the point of application for external forces.
  • #1
schaafde
16
0
Given the picture in the attachment of two rods touching with them each being 17 inches long and one weighing double the weight of the other, would it make sense that the center of mass is 2/3 of the way down the picture from the thinner end? Or, am I going about this idea the wrong way?
 

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  • #2
Right below the top menu you should see something like "Your notifications," a number, and an arrow that indicates a hypertext link. Click it.

Don't just guess! And please show some work.
 

Related to Where is the Center of Mass Located in a System of Two Unequal Rods?

What is the center of mass of a system?

The center of mass of a system is a point that represents the average position of all the mass in the system. It is the point at which the system can be balanced.

How is the center of mass of a system calculated?

The center of mass of a system can be calculated by taking the sum of the individual masses multiplied by their respective distances from a chosen origin point, and then dividing by the total mass of the system.

Why is the center of mass an important concept in physics?

The center of mass is an important concept in physics because it allows for the simplification of complex systems into a single point. It is also crucial in understanding the motion and stability of objects and systems.

Can the center of mass of a system be located outside of the physical boundaries of the system?

Yes, the center of mass of a system can be located outside of the physical boundaries of the system. This can occur when the distribution of mass within the system is uneven or asymmetrical.

How does the center of mass of a system affect its motion?

The center of mass of a system affects its motion by acting as the point of application for external forces. The system will move as if all the external forces are acting on the center of mass.

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