Moment Of Inertia Of A Rectangular Plate - Practice Questions & MCQ

Let =Moment of inertia for uniform rectangular lamina about y- axis passing through its centre .

To calculate 

Consider a uniform rectangular lamina of length l, and breadth b and mass M  

 mass per unit Area of  rectangular lamina =

Take a small element of mass dm with length dx at a distance x from the y-axis as shown in figure.

Now integrate this dI  between the limits  

Similarly 

Let  = Moment of inertia for uniform rectangular lamina about x- axis passing through its centre .

To calculate 

Take a small element of mass dm with length dx at a distance x from the x-axis as shown in figure.

mass per unit Area of  rectangular lamina =

Now integrate this dI  between the limits