One quarter sector is cut from a uniform circular disc of radius This sector has mass . It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

a)

b)

c)

d)

Question ID - 100625 :-

One quarter sector is cut from a uniform circular disc of radius This sector has mass . It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

a)

b)

c)

d)

1 Answer

5876 Votes

3537

Answer Key : (a) -

(a)

We cannot consider the quadrant as a single mass as the distance of different particles is different from the axis of rotation. So we take the help of calculus. Let us consider a segment as shown in Figure. All masses lying in this segment are at a distance from the axis and hence considerd as a small differential mass . Let the thickness of the segment be

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