Question

A uniform disc of mass 4 kg has radius of 0.4 m. Its moment of inertia about an axis passing through a point on its circumference and perpendicular to its plane is ______.

विकल्प

• 0.32 kg-m²

• 0.96 kg-m²

• 0.16 kg-m²

• 0.64 kg-m²

Answer 1

A uniform disc of mass 4 kg has radius of 0.4 m. Its moment of inertia about an axis passing through a point on its circumference and perpendicular to its plane is 0.96 kg -m².

Explanation:

M = 4 kg, R = 0.4 m

MI = I₀ + Mh²

`=1/2MR^2+MR^2`

`=3/2MR^2`

`=3/2xx4xx(4xx4)/100=(6xx16)/100=96/100`

= 0.96 kg-m²