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Question
In a rectangle ABCD, AB=2l and BC=l. Axes xx and yy pas sthrough the centre of the rectangle. The moment of inertia is least about:
In a rectangle ABCD, AB=2l and BC=l. Axes xx and yy pas sthrough the centre of the rectangle. The moment of inertia is least about:
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Solution
The correct option is C xx
Moment of inertia is least about an axis which passes through COM and
the distribution is such that the more mass is away from the axis. If we
take yy' the distance between yy' and BC is l whereas for xx' its
distance to AB is l/2. thus, more mass is distributed closer to xx' than
yy', and hence its moment of inertia is minimum about xx'
Moment of inertia is least about an axis which passes through COM and the distribution is such that the more mass is away from the axis. If we take yy' the distance between yy' and BC is l whereas for xx' its distance to AB is l/2. thus, more mass is distributed closer to xx' than yy', and hence its moment of inertia is minimum about xx'
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