Question

Two rods, each of mass m and length l, are joined as shown in the figure. Moment of inertia of system about an axis passing through one end of the rod, i.e. O, and perpendicular to the plane is ____________.

Options

• `17/12`ml²

• `13/12`ml²

• `5/3`ml²

• `2/3`ml²

Answer 1

Two rods, each of mass m and length l, are joined as shown in the figure. Moment of inertia of system about an axis passing through one end of the rod, i.e. O, and perpendicular to the plane is

`17/12`ml².

Explanation:

I₁ = `"ml"^2/3` and

I₂ = `"ml"^2/12` + ml² = `13/12"ml"^2`

`therefore "l"_T = "l"_1 + "l"_2 = "ml"^2/3 +"13ml"^2/12 = "17ml"^2/12`