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A cylinder of mass , length  and radius . If its moment of inertia about an axis passing through its centre and perpendicular to its axis is minimum, the ratio  must be equal to

a)

3/2

b)

2/3

c)

d)



Question ID - 53896 | SaraNextGen Top Answer

A cylinder of mass , length  and radius . If its moment of inertia about an axis passing through its centre and perpendicular to its axis is minimum, the ratio  must be equal to

a)

3/2

b)

2/3

c)

d)

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

(d)

Moment of inertia of the cylinder about an axis perpendicular to the axis of the cylinder and passing through the centre is

  …(i)

If  is volume density of the cylinder, then

constant    …(ii)

Put in Eq. (i),

For  to be minimum,

Using Eq. (ii), 

or  

or  

127 votes


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