In the figure shown find moment of inertia of a plate having mass M, length l and width b about axis 1,2,3 and 4. Assume that C is centre and mass is uniformly distributed

Explanation

Moment of inertia of the plate about axis 1 (by taking rods perpendicular to axis 1)
`I_1 = Mb^2 //3`
Moment of inertia of the plate about axis 2 (by taking rods perpendicular to axis 2)
`I_2 Ml^2 //12`
Moment of inertia of the plate about axis 3 (by taking rods perpendicular to axis 3)
`I_3 = ("Mb"^2)/12`
Moment of inertia of the plate about axis 4(by taking rods perpendicular to axis 4)
` I_4 = ml^2 // 3`