Physics Center of Mass Center of Mass of Discrete Particle System, Regular Bodies & Composite Bodies MCQ (Single Correct)

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

A
0.4 m
B
2.4 cm
C
1.8 cm
D
1.2 cm

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Text Solution

Verified by Experts
The correct answer is:
A

Let radius of complete disc is R and that of small disc is . Also, let centre of mass now

shifts to at a distance from original center.

The position of new center of mass is given by
, where, mass per unit area
Here,
Hence,

Negative sign indicates the shift is towards left.

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