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Q.

A circular plate of diameter a is kept in contact with a square plate of edge a as shown in figure. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be

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a

inside the circular plate

b

inside the square plate

c

at the point of contact

d

outside the system

answer is B.

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Detailed Solution

Area of circle, A1=π4a2 and area of square A2=a2. Since, A2>A1, so centre of mass will lie inside the square plate.
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A circular plate of diameter a is kept in contact with a square plate of edge a as shown in figure. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be