Question

Moment of Inertia of a Circular lamina of radius 10 cm and mass 100 kg is given by
1. 100000 kg cm²
2. 5000 kg cm²
3. 10000 kg cm²
4. 98000 kg cm²

Answer 1

Correct Answer - Option 2 : 5000 kg cm²

Concept:

Here, the circular lamina means disc who moment of inertia is given by

\(I = \frac{{m\mathop r\nolimits^2 }}{2}\)

Calculation:

Given:

m = 100 kg, r = 10 cm

\(I =\frac{{m\mathop r\nolimits^2 }}{2}= \frac{{100(\mathop {10}\nolimits^2 )}}{2}\)

I = 5000 kg cm²