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A small disc of radius 2cm is cut from a...

A small disc of radius 2cm is cut from a disc of radius 6cm. If the distance their centers is 3.2cm, what is the shift in the center of mass of the disc?

A

0.4m

B

2.4cm

C

1.8cm

D

1.2cm

Text Solution

Verified by Experts

The correct Answer is:
A
Big disc
`A= pi (6)^(2)`
`x_(1)= 0, y_(1)= 0`
Small disc `a= pi (2)^(2)`
`x_(2)= 3.2, y_(2)= 0`
`x_(COM)= (Ax_(1)- ax_(1))/(A- a)= (pi (6)^(2) xx 0 - pi (2)^(2) xx 3.2)/(pi (6^(2) -2^(2)))= -0.4cm`
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