Question

Four balls each of radius $10\, cm$ and mass $1\, kg, 2\, kg, 3\, kg$ and $4 \,kg$ are attached to the periphery of massless plate of radius $1\,m$ . What is moment of inertia of the system about the centre of plate ?

• A. $12.04\,kg-m^2$
• B. $10.04 \,kg-m^2$
• C. $11.50 \,kg-m^2$
• D. $5.04 \,kg-m^2$

Answer 1

Answer: (B)

$10.04 \,kg-m^2$

Answer 2

Moment of inertia of the system about the centre of plate is given by