Question

A cricket bat is cut in two parts perpendicular to the length at the location of centre of mass, then


A)Both the parts will have same mass


B)The bottom piece will have larger mass


C)The piece containing handle will have larger mass


D)Mass of piece containing handle is double the bottom piece

Answer 1

Answer:

D ) is the answer

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Answer 2

(A) Both the parts will have the same mass.

Explanation:

The center of mass of a body is the unique point which represents the mean position of the matter in a body or system.

It is a imaginary point to which a force may be applied to cause a linear acceleration without any angular acceleration..

It is also defined as a point at which the torques from the mass elements of an object sum to zero.

For 2 masses  COM is calculated as

$x_{com} = \frac{x_{1}m_{1} +x_{2} m_{2} }{m_{1}+m_{2} }$

       Since the cricket bat is cut in two parts at the location of Center of mass , both the parts will have the same mass otherwise if we join both the parts back again the center of mass will not be the same.

Hence  both the masses have to be equal.