The moment of inertia of a square lamina about the perpendicular axis through its centre of mass is 20kg then it`s moment of inertia about an axis touching it`s side and in the plane of lamina will be
Ankit , 6 Years ago
Grade 12th pass
1 Answers
Rituraj Tiwari
Last Activity: 4 Years ago
Given parameters
Moment of inertia of a square lamina about the perpendicular axis at the center of the square (I0) = 20 kgm-2
Let us consider
L = Length of square
M = Mass of the square laminaI0=ML2620 = ML2/6
ML2= 120 kgm2
According to the parallel axis theorem
Ix= Iy= I0/2= 10kgm-2
I1= Ix+ M(L/2)2
⇒ I1= Ix+ ML2/4
⇒ I1= 10 + 120/4
⇒ I1= 40 kgm-2
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