Answer :

Given,

Diameter of circular plate = D = 56 cm

Radius of circular plate = R = 28 cm

Let, mass of the circular plate = M

Since density of plate is constant so,

We know,

Let centre of mass of the circular plate before removing the plate be at origin.

X_{CM}= 0

Now,

Diameter of circular portion removed = d = 42 cm

Radius of circular portion = r = 21 cm

Let, mass of the circular portion removed = m_{1}

Mass of the remaining portion = m_{2}

_{}

From origin C.M. of circular portion removed lies at

Let, centre of mass of the remaining portion lie at a cm

Since density of plate is constant so,

Centre of mass of the remaining portion lie at 9 cm from initial centre of mass.

Negative sign shows that it lies left of the origin

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