Hi!

Attached picture below.

Problem:Calcuate center of mass of the slender rod.

Solution attempt:

Since the density varies, I did: With , because I guess the area is the same throughout the rod.

Thx for your help!

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- Jul 7th 2009, 03:29 AMTwigAnother center of mass problem
Hi!

Attached picture below.

**Problem:**Calcuate center of mass of the slender rod.

**Solution attempt:**

Since the density varies, I did: With , because I guess the area is the same throughout the rod.

Thx for your help! - Jul 7th 2009, 03:44 AMalexmahone
- Jul 7th 2009, 03:50 AMRandom Variable
It seems correct except for the constant A. The rod is a 1-dimensional object.

- Jul 7th 2009, 03:52 AMTwig
I was thinking about the cross sectional area of the rod.

So you mean I should just take ? - Jul 7th 2009, 03:54 AMRandom Variable
- Jul 7th 2009, 04:01 AMTwig
- Jul 7th 2009, 04:25 AMmalaygoel
your answer is correct.

A doesn't affect the result because it is assumed to be constant.

A two-dimensional figure is a as good as a one-dimensional as long as one dimension remains unchanged.

For example, if we are dealing with all rectangles with the same same, then we have to consider only their relative length..hence problem comes in the realm of one-dimension.