What is the Center of Mass for a Donut and an Empty Box within a Box?

In summary, the conversation discusses finding the center of mass of two figures, a donut and a box with an empty box inside, and attempting to solve a related problem involving glasses or lenses. The question of whether the images are 3D or if the circular one is a torus is also brought up.
  • #1
immeen04
1
0
1. FIgures in this link:
( a donut, and a Box with and empty box inside)
http://postimage.org/image/smdut3cxb/ 2.Find the CoM of the two figures
3. as i attempted for the circle:

Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited by a moderator:
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  • #2
Welcome to PF;
How have you attempted these problems?

Do you understand where the com would be if the hole weren't there?
Are these images 3D? i.e. is the circular one literally a torus (a donut shape)?
 
  • #3
One word hint...Symmetry
 
  • #4
erm :redface: … guys …

haven't you notived the edit about two hours ago? :wink:​
 
  • #5
Anyone know how to solve problems involving glases/lenses :-)
 
  • #6
Nah - nobody reads those messages :)
 

1. What is the definition of center of mass?

The center of mass is the point at which an object's mass is evenly distributed, resulting in equal weight on all sides.

2. How is center of mass different from center of gravity?

The center of mass is the point where an object's mass is evenly distributed, while the center of gravity is the point where the force of gravity acts on an object.

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

Yes, the center of mass can be outside of an object if the object has an irregular shape or varying density.

4. How is the center of mass calculated?

The center of mass is calculated by finding the weighted average of all the individual masses in an object, taking into account both the mass and position of each individual part.

5. Why is the center of mass important in physics?

The center of mass is important in physics because it helps determine an object's stability, rotational motion, and ability to balance on a surface. It is also used in analyzing collisions and predicting the motion of objects in a system.

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