JEE Main Physics question
(1) Centre of gravity (C.G.) of a body is the point at which the weight of the body acts. (2) Centre of mass coincides with the centre of gravity if the earth is assumed to have an infinitely large radius. (3) To evaluate the gravitational field intensity due to any body at an external point, the centre of mass of the body can be considered to be concentrated there. (4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis. Which one of the following pairs of statements is correct?
Solution
(1) and (2) are standard, correct statements: the CG is where weight effectively acts, and CM = CG when is uniform over the body (valid when the earth's radius is very large compared to the body). (3) is false
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