Q. 55.0( 2 Votes )

A circular

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.


XCM= 0


Now,


Diameter of circular portion removed = d = 42 cm


Radius of circular portion = r = 21 cm


Let, mass of the circular portion removed = m1


Mass of the remaining portion = m2



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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