How Do You Calculate the Center of Mass for Multiple Objects?

Click For Summary
To calculate the center of mass for three connected objects with masses of 5 g, 1 g, and 7 g located at specific coordinates, the formulas for the x and y coordinates of the center of mass must be applied. The x-coordinate is determined by the weighted average of the x-positions, resulting in 4.54, while the y-coordinate is calculated similarly, yielding 4.6. The total mass of the system is 13 g, which is used as the denominator in both calculations. The process involves breaking down the calculations into x and y components to find the overall center of gravity. This method is applicable to multiple objects connected by massless rods.
Shadow_C316
Messages
6
Reaction score
0
Three balls with masses of 5 g, 1 g, and 7 g,
respectively, are connected by massless rods.
The balls are located (in meter intervals) as
in the figure.

Imagine the first quadrant of a graph.
The 5 gram is at point (3,8)
The 7 gram is at point (5,2)
The 1 gram is at point (9,6)

What do do to find the center of gravity? I've looked online and I only see formulas for 2 objects instead of 3 so I'm stuck. Forgot to say they are all connected by massless rods.
 
Last edited:
Physics news on Phys.org
the sum of the equations...
 
Sum of what equations?
 
the sum of the center mass equation... and you got to break it down into y and x... there is an similar example online, i'll look it up for you
 
Thanks so much! Would the answer be:

In the X direction
((5x3) + (7x5) + (1x9))/13=4.54

In the Y direction
((5x8) + (7x2) + (1x6))/13=4.6
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Center of mass and rotation question
  • · Replies 4 ·
Replies
4
Views
6K
Finding the Center of Mass of a Meter Stick with Multiple Masses
  • · Replies 1 ·
Replies
1
Views
2K
Center of Mass Velocity of rotating object
  • · Replies 5 ·
Replies
5
Views
8K
Center of Mass coordinates Question
  • · Replies 1 ·
Replies
1
Views
2K
Physical Pendulum - Rod - Period and Distance From Center of Mass
  • · Replies 22 ·
Replies
22
Views
4K
How do I determine the center of mass for a rod with varying linear density?
  • · Replies 6 ·
Replies
6
Views
4K
How Do You Calculate Proton Beam Energy in a Lab Frame?
  • · Replies 7 ·
Replies
7
Views
2K
Calculating Angular Speed of Rotating Apparatus with Attached Mass and Rod
  • · Replies 1 ·
Replies
1
Views
2K
Balls elastic collision off center
  • · Replies 7 ·
Replies
7
Views
3K
How Do You Calculate the Ratio h/R for a Spinning Billiard Ball?
  • · Replies 3 ·
Replies
3
Views
3K