• Support PF! Buy your school textbooks, materials and every day products Here!

Center of mass of rod

1. Homework Statement
If you have a rod that is pivoted at one end with a mass of 4 kg and a length of 24 m and the other end has a sphere attached to it that is 4 kg and has a radius of 1.5 m, what is the center of mass?


2. Homework Equations
MXcm= m1x1 + m2x2


3. The Attempt at a Solution
I think that the center of mass should be where the sphere attaches to the rod, but I feel like that isn't right.
 
Last edited:

Answers and Replies

25
0
The centre of mass will be the middle of the total distance where the total torque is in equilibrium.

That being said, Once you figure out the torque of one end (going clockwise), you can equate it to torque at the other end (going anticlockwise, so the rod and sphere is static) and the distance can be evaluated, which will be the distance from the end to the middle.

A diagram really helps.
 

Related Threads for: Center of mass of rod

  • Last Post
Replies
4
Views
14K
  • Last Post
Replies
6
Views
7K
  • Last Post
Replies
16
Views
4K
  • Last Post
Replies
4
Views
27K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
7
Views
9K
Replies
2
Views
2K
Top