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A cylinder of mass M has length L that is 3 times its radius what is the ratio of its moment of inertia about its own axis and that about an axis passing through its centre and perpendicular to its axis? 

(A) 1 

(B) (1 / √3) 

(C) √3 

(D) (√3 / 2)

1 Answer

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Best answer

Correct option: (A) 1

Explanation:

Given:

mass = M

length = L =  R

Let I1 = MI about own axis

I1 = [(MR2) / 2]

I2 = MI about axis perpendicular to it's own axis and passing through centre.

I2 = M[(R2 / 4) + (L2 / 12)]

given L = 3 R

I2 = M[(R2 / 4) + (3R2 / 12)]

= [(M6R2) / (12)]

I2 = [(MR2) / 2]

hence

(I1 / I2) = [{(MR2) / 2} / {(MR2) / 2}] = 1   

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