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The moment of inertia of a uniform rod about a perpendicular axis passing through one end is . The same rod is bent into a ring and its moment of inertia about a diameter is . Then  is

a)

b)

c)

d)



Question ID - 53979 | SaraNextGen Top Answer

The moment of inertia of a uniform rod about a perpendicular axis passing through one end is . The same rod is bent into a ring and its moment of inertia about a diameter is . Then  is

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (d) -

(d)

Let  be the mass and  be the length of given uniform rod

Moment of inertia of the rod about one end is

      …(i)

When it is bent into a ring

Or     …(ii)

Moment of inertia of a ring about its diameter is

    [Using (ii)]

127 votes


127