Question

Calculate the moment of inertia of the angle section about the X-axis. (s​

Answer 1

Answer:

uninform movement of velocity

Explanation:

inertia 0

Answer 2

The relevant picture is attached herewith .

Answer:

The moment of inertia along the x axis  = 4.2209 x 10⁶ mm.

Explanation:

Moment of Inertia :

Moment of inertia is defined as the resisting angular acceleration of the body or, which means that the sum of the product of the mass of that body with the squared of the distance of the axis of rotation.

• Moment of inertia is basically chosen along a particular axis.

• It depends on the mass distributed around that axis of rotation.

Considering, the vertical rectangle which has a height of 100mm and the breadth is of 12.5mm

then, h₁ = 100mm

and b₁ = 12.5mm

and considering the horizontal cut off portion if the rectangle to the ground :

the height will be 12.5mm and breadth will be 100 - 12.5 mm = 87.5mm

So, h₂ = 12.5mm

and b₂ = 87.5mm

Now, we know that the moment of inertia along the x-axis =

Iₓ = $\frac{b1 (h1)^3}{3}$ + $\frac{b2 (h2)^3}{3}$

or, Iₓ = (12.5 x (100)³)/3 + (87.5 x (12.5)³)/3

or, Iₓ  = 4.2209 x 10⁶ mm.

Therefore, the moment of inertia along the x axis  = 4.2209 x 10⁶ mm.

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