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Applied Mechanics - Engineering

Q1:

Pick up the incorrect statement from the following :

A The C.G. of a circle is at its centre

B The C.G. of a triangle is at the intersecton of its medians

C The C.G. of a rectangle is at the intersection of its diagonals

D The C.G. of a semicircle is at a distance of r/2 from the centre

E The C.G. of an ecllipse is at the intersection of axes.

ANS:D - The C.G. of a semicircle is at a distance of r/2 from the centre

"The C.G. of a semicircle is at a distance of r/2 from the centre." The correct statement should be that the center of gravity (C.G.) of a semicircle is located at a distance of 4r​/3π from the diameter's flat side (or 2r/π​ from the center). Therefore, it's not located at a distance of r/2​ from the center.