Question

Four point masses, each of mass ‘m’ are arranged in X-Y plane as shown in the figure. The moment of inertia of this system about X-axis is:

Options

• 3 ma²

• 4 ma²

• 5 ma²

• 6 ma²

Answer 1

5 ma²

Explanation:

M.I. of the system about the X-axis is:

I = m × (0)² + m × (a)² + m × (−2a)² + m × (0)²

= ma² + 4 ma²

= 5 ma²