Three small panicles with identical mass are connected by massless rods. The rod

Question

Three small panicles with identical mass are connected by massless rods. The rod between B and C is twice as long as the other rod; the angle between the rods is 90degree. Rank the moments of inertia around the following axes: A - passes through mass A and is perpendicular to the plane of the page B - passes through mass B and is perpendicular to the plane of the page C - passes through mass C and is perpendicular to the plane of the page I_C > I_A > I_B I_A = I_B = I_C I_A>I_B>I_C I_B > I_A = I_C I_A = I_C > I_B

Explanation / Answer

let distance AB is x
BC = 2x
AC = sqrt(x^2 + (2x)^2) = sqrt(5) * x

IA = mB*(AB)^2 + mC*(AC)^2
= m*x^2 + m* 5x^2
=6mx^2

IB = mA*(AB)^2 + mC*(BC)^2
= mx^2 + m*(2x)^2
= 5mx^2

IC = mB*(BC)^2 + mA*(AC)^2
= m*(2x)^2 + m* 5x^2
=9mx^2

Answer:
IC>IA>IB
Answer: A

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