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

Click For Summary
SUMMARY

The discussion focuses on calculating the center of mass for a system of three particles positioned at the corners of a right triangle. The masses are 7.0 kg, 6.4 kg, and 9.9 kg, with distances a and b measuring 15.8 m and 2.0 m, respectively. The calculated vertical center of mass is confirmed to be 0.6 m. Participants express confidence in the calculation, indicating no errors in the methodology used.

PREREQUISITES
  • Understanding of center of mass calculations
  • Familiarity with right triangle geometry
  • Basic knowledge of mass and weight concepts
  • Ability to perform weighted average calculations
NEXT STEPS
  • Research the formula for calculating the center of mass in multi-particle systems
  • Explore applications of center of mass in physics problems
  • Learn about the effects of mass distribution on center of mass
  • Study right triangle properties and their implications in physics
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding the principles of center of mass in physical systems.

IDKPhysics101
Messages
31
Reaction score
0
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.
 

Attachments

  • center_of_mass_1.gif
    center_of_mass_1.gif
    4.4 KB · Views: 676
Physics news on Phys.org
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:
 

Similar threads

Replies
17
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
Replies
4
Views
1K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
2
Views
2K
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 4 ·
Replies
4
Views
7K