The figure shows a rod of length Land mass M lying in the x - y plane passing through the origin at its centre. The moment of inertia of the rod about the x- axis is

Three thin rods each of length Land mass M are placed along x, y and z-axes such that one end of each rod is at origin. The moment of inertia of this system about z-axis is

A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90^@ . The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is.

A rod is placed along the line, y=2x with its centre at origin. The moment of inertia of the rod is maximum about.

A thin rod of length 4l, mass 4 m is bent at the point as shown in the figure. What is the moment of inertia of the rod about the axis passing through O and perpendicular to the plane of the paper?

A thin rod of length 4l, mass 4 m is bent at the point as shown in the figure. What is the moment of inertia of the rod about the axis passing through O and perpendicular to the plane of the paper?

If I_(1) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass and I_(2) is the moment of inertia of the ring about an axis perpendicular to plane of ring and passing through its centre formed by bending the rod, then

The figure shows a uniform rod lying along the X-axis. The locus of all the points lying on the XY-plane, about which the moment of inertia of the rod is same as that about O is

Two rods OA and OB of equal length and mass are lying on xy plane as shown in figure. Let I_(x),I_(y) and I_(z) be the moment of inertia of both the rods bout x,y and z axis respectively. Then,

A uniform rod of mass m and length l_(0) is rotating with a constant angular speed omega about a vertical axis passing through its point of suspension. Find the moment of inertia of the rod about the axis of rotation if it make an angle theta to the vertical (axis of rotation).

Figure shows the variation of the moment of inertia of a uniform rod, about an axis passing through itss centre and inclined at an angle theta to the length. The moment of inertia of the rod about an axis passing through one of its ends and making an angle theta=(pi)/(3) will be