In a nonuniform rod, the centre of mass is at its centre. Statement - 1 : If the rod is cut in two equal parts from its centre, the mass of both the parts is the same. Statement - 2 : x_{c} = \frac{m_{1} x_{1} + m_{2} x_{2}}{\left( m\right)_{1} + m

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Question

In a nonuniform rod, the centre of mass is at its centre.
Statement - 1 : If the rod is cut in two equal parts from its centre, the mass of both the parts is the same.
Statement - 2 : $x_{c} = \frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}}$ .

Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

Statement-1 is false, statement-2 is true.

Statement-1 is true, statement-2 is false.

Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.

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Left half heavy but its C.M. closed right end.