First slide

Location of centre on mass for multiple point masses

Question

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

Moderate

A

inside the circular plate
B

inside the square plate
C

at the point of contact
D

outside the system

Solution

Area of circle, $A_{1} = \frac{π}{4} a^{2}$ and area of square $A_{2} = a^{2}$ . Since, $A_{2} > A_{1},$ so centre of mass will lie inside the square plate.

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