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Question

Two point masses of 0.3kg and 0.7kg are fixed at the ends of a rod of length 1.4m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum, is located at a distance of

A
0.42m from mass of 0.3kg
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B
0.70m from mass of 0.7kg
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C
0.98m from mass of 0.3kg
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D
0.98m from mass of 0.7kg
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Solution

The correct option is C 0.98m from mass of 0.3kg
ww/x when axis is passing through centre of mass.
i.e.x=0.3×0+0.7×1.40.3+0.7=0.98mfrom0.3kg.Ans.(C)

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