Parallel And Perpendicular Axis Theorem - Practice Questions & MCQ

For the given uniform square lamina ABCD,  whose centre is  O,

Consider a thin uniform square sheet made of a rigid material. If its side is 'a', mass m and moment of inertia I about one of its diagonals, then :

Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

 The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ? 

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure) The moment of inertia (MR²) of the system about the axis passing perpendicularly through the centre of the rod is :

From the theorem of the perpendicular axis. If the lamina is in the Y-Z plane

The M.I. of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and lying on the surface of the cylinder is