(III) A uniform circular plate of radius has a circular hole of radius cut out of it. The center \(C^{\prime}) of the smaller circle is a distance \(0.80 R\) from the center of the larger circle, Fig. . What is the position of the center of mass of the plate? [Hint: Try subtraction.]

FIGURE 7-41 Problem 52

Equation Transcription:

Text Transcription:

C'

0.80R

We have to find the position of the center of mass of the resultant larger plate formed due to the removal of the small circular plate from it.

Step1 of 6

Concept:

Center of mass(CM) of a body is an imaginary point at which the whole mass of the body is supposed to be concentrated. We consider that the net force acts on the centre of mass of body, insteads of considering that it acts on each and every point on the body for simpler calculation and this is one of the importance of application of CM.

The location of the center of mass on the x-axis and y-axis is given as

and