Question

Four point masses (each of mass m) are arranged
in the X-Y plane the moment of inertia of this array
of masses about Y-axis is
(1) 6 ma?
(2a, a)
a
(2) 12 ma?
(3) 18 ma?
(0,0)
(4) 24 ma?
(2a,-a)
(4a,0)​

Answer 1

✅✔️Question➡️⤵️

• Four point masses (each of mass m) are arranged it the X−Y plane the moment of inertia of this array of masses about Y−axis

✅✔️Answer➡️⤵️

✴️ Moment of inertia of this array of masses about Y-axis is given as

✴️ I = m × (0)^2 + m × a^2 + m × a^2 + m × (2a)^2

✴️ I = ma^2 + ma^2 + 4ma^2

✴️ I = 6ma^2