# Center of Mass: Plate with hole

#### turandorf

1. Homework Statement

A uniform circular plate of radius 14 cm has a circular hole of radius 2 cm cut out of it. The center of the plate is at the origin of the coordinate system and the center of the hole is located along the x axis a distance 4 cm from the origin. What is the position of the center of mass of the plate with the hole in it?

2. Homework Equations

Center of Mass (x)= (m1x1+m2x2)/(m1+m2)

3. The Attempt at a Solution
This one has me confused. I know that the hole will move the center of mass, but I'm not sure how. Any help would be appreciated! Thanks!

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#### Doc Al

Mentor
Finding the center of mass of two uniform disks would be easy (I hope you'll agree). How can you represent the plate with hole as two uniform disks? Hint: 1 - 1 = 0.

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