Question

A Circular disc has diameter 50 mm. Find its moment of inertia​

Answer 1

Answer:

$\huge{\boxed{\boxed{\underline{\rm{\pink{♡AnSwEr♡}}}}}}$

Explanation:

Let mass of circular disc is M and radius R.

Given, Moment of Inertia (MOI) about one of its diameter = l, ⇒ MR^2/4 = l ⇒MR^2 =4l .....1

MOI about an axis passing through the centre of the disc= MR^ 2/2

Using parallel theorem of MOI, I = I cm +mx^ 2

, Where I cm is MOI of centre of mass and x is the distance between centre of mass and axis of rotation.

MOI about an axis tangent to disc and perpendicular to its plane= MR ^2/2 +MR ^2 = 3/2 MR ^2 =6l (Using equation 1, MR ^2 =4l)