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Question

# A rod of length 4m is rotated about an axis perpendicular to the rod and passing through a point 1 m from one of its end as shown in figure. The rod has a uniform mass density and has a total mass of 10 kg. What will be its moment of Inertia about this axis?

A
706Kgm2
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B
703Kgm2
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C
353Kgm2
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D
356Kgm2
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Solution

## The correct option is B 703Kg−m2Let's follow the similar steps as mentioned in the previous videoclip, dm=MLdx=104dx dm=52dx I=∫3−152x2dx I=(52)[x33]3 =56{27−(−1)} =56×28=703kg−m2.

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