A uniform disc of radius R is taken and out of it a disc of diameter R

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subrat singh Grade: 11


                        A uniform disc of radius R is taken and out of it a disc of diameter R/2 is cut off from end. The center of mass of remaining part will be?

4 years ago

Answers : (1)

Manas Shukla

102 Points

							Let M be the mass of the full disc , M’ be the mass of the partial disc and m be the mass of the smaller removed disc. If p is the density of the disc materials
Then
Now Lets assume the centre of whole disc is at origin and thus removed disc centre is at (0,3R/4)
As we see it will be symmetrical along x axis thus centre of mass along y coordinate wont change.
For x coordinate we have
Thus new coordinate for CoM = (0,-R/20)