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Q.

A right body can be hinged about any point on the x-axis. When it is hinged such that the hinge is at x, the moment of inertia is given by I=2x2-12x+27. The x coordinate of center of mass at x is ____

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answer is 3.

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Detailed Solution

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Moment of inertia is minimum at the location of center of mass

So,dIdx=0,4x-12=0x=3

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A right body can be hinged about any point on the x-axis. When it is hinged such that the hinge is at x, the moment of inertia is given by I=2x2-12x+27. The x coordinate of center of mass at x is ____