Center of mass: mass's on a right triangle system

In summary, the system consists of three particles with masses of 7.0 kg, 6.4 kg, and 9.9 kg, located at the corners of a right triangle. The center of mass in the vertical direction is located at a distance of 0.6 m.
  • #1
IDKPhysics101
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A system consists of three particles located at the corners of a right triangle as shown below. Mass 1 is 7.0 kg, mass 2 is 6.4 kg, and mass 3 is 9.9 kg. If the distances a equals 15.8 m and b equals 2.0 m, then what is the center of mass (in m) in the vertical direction?

Y center of mass=.6m

I don't have time to type my work right now. But will show work if answer is wrong to see where i went wrong.
 

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  • #2
IDKPhysics101 said:
A system consists of three particles located at the corners of a right triangle as shown below. Mass 1 is 7.0 kg, mass 2 is 6.4 kg, and mass 3 is 9.9 kg. If the distances a equals 15.8 m and b equals 2.0 m, then what is the center of mass (in m) in the vertical direction?

Y center of mass=.6m

seems fine :smile:
 

Related to Center of mass: mass's on a right triangle system

1. What is the center of mass in a right triangle system?

The center of mass in a right triangle system is the point where the entire mass of the system is concentrated. It is the average location of all the individual masses in the system.

2. How is the center of mass calculated in a right triangle system?

The center of mass in a right triangle system can be calculated by taking the weighted average of the individual masses. This involves multiplying each mass by its distance from a chosen reference point and then dividing the sum of these values by the total mass of the system.

3. What factors affect the location of the center of mass in a right triangle system?

The location of the center of mass in a right triangle system is affected by the individual masses as well as their distances from the reference point. The shape and orientation of the triangle also play a role in determining the center of mass.

4. Can the center of mass ever be located outside of the object in a right triangle system?

No, the center of mass will always be located within the boundaries of the object in a right triangle system. This is because the center of mass is a representation of the distribution of mass within the system and cannot exist outside of it.

5. How is the concept of center of mass useful in real-world applications?

The concept of center of mass is useful in various real-world applications, such as designing structures and vehicles for stability, understanding the motion of objects, and predicting the behavior of complex systems. It is also used in fields such as physics, engineering, and astronomy.

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