A rod of length l is pivoted about an end . Find the moment of inertia of the rod about this axis if the linear mass density of rod varies as `rho = ax^(2) + b` kg/m

Find the moment of inertia of the rod AB about an axis yy as shown in figure. Mass of the rod is m and length is l.

The moment of inertia of a system of four rods each of length l and mass m about the axis shown is

Two uniform solid of masses m_(1) and m_(2) and radii r_(1) and r_(2) respectively, are connected at the ends of a uniform rod of length l and mass m . Find the moment of inertia of the system about an axis perpendicular to the rod and passing through a point at a distance of a from the centre of mass of the rod as shown in figure.

Mass M is distributed over the rod of length L. If linear mass density (lambda) of the rod is linearly increasing with length as l = Kx, where x is measured from one end as shown in figure & K is contant. The moment of inertia. of the rod about the end perpendicular to rod where linear mass density is zero.

A light rod of length l has two masses m_1 and m_2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is.

A non-uniform rod AB has a mass M ad length 2l. The mass per unit length of the rod is mx at a point of the rod distant x from A. find the moment of inertia of this rod about an axis perpendicular to the rod (a) through A (b) through the mid-point of AB.

The moment of inertia of a rod about its perpendicular bisector is I . When the temperature of the rod is increased by Delta T , the increase in the moment of inertia of the rod about the same axis is (Here , alpha is the coefficient of linear expansion of the rod )

A uniform rod of length 1 metre has a mass of 500 gram . What is moment of inertia of the rod about an axis passing through the centre of the rod perpendicular to its length. How is moment of inertia changed when the same axis passes through one end of the rod ?