A small bob of mass m is tied to a string and revolved in a vertical circle of radius r. If its speed at the highest point is $\sqrt{3rg}\backslash sqrt\{3rg\}$ , the tension in the string at the lowest point is

A small object, tied at the end of a string of length r, is launched into a vertical circle with a speed $2\sqrt{gr}2\; \backslash sqrt\{gr\}$ at the lowest point. Its speed when the string is horizontal is

Two bodies with moments of inertia $I_{1}I\_1$ and $I_{2}I\_2$($I_{1}I\_1$ > $I_{2}I\_2$) rotate with the same angular momentum. If $E_{1}E\_1$ and $E_{2}E\_2$ are their rotational kinetic energies, then

The radius of gyration k for a rigid body about a given rotation axis is given by

Three point masses m, 2m and 3m are located at the three vertices of an equilateral triangle of side l. The moment of inertia of the system about an axis along the altitude of the triangle passing through $m_{1}m\_1$ ?

The moment of inertia of a thin uniform rod of mass M and length L, about an axis passing through a point midway between the centre and one end, and perpendicular to its length, is

A thin uniform rod of mass M and length L has a small block of mass M attached at one end. The moment of inertia of the system about an axis through its CM and perpendicular to the length of the rod is

A thin wire of length L and uniform linear mass density $\lambda \backslash lambda$ is bent into a circular ring. The MI of the ring about a tangential axis in its plane is

When a planet in its orbit changes its distance from the Sun, which of the following remains constant ?

If L is the angular momentum and I is the moment of inertia of a rotating body, then $\frac{L^2}{2I}\backslash frac\{L^2\}\{2I\}$ represents its