Question

Three-point masses each of mass 'M' are placed at the corners of an equilateral triangle of side 'a'. The moment of inertia of this system about an axis passing through one side of a triangle is ______.

विकल्प

• `"Ma"^2/4`

• `"2Ma"^2/3`

• `"Ma"^2/3`

• `"3Ma"^2/4`

Answer 1

Three-point masses each of mass 'M' are placed at the corners of an equilateral triangle of side 'a'. The moment of inertia of this system about an axis passing through one side of a triangle is `underline("3Ma"^2/4)`.

Explanation:

Moment of inertia of the system about axis AB is given by

I = Mh²

h = a sin 60° `=axxsqrt3/2`

`therefore I=(3"Ma"^2)/4`