System of Parti...

A disc of mass $$10kg$$ has moment of inertia of $$90kg$$ $${m}^{2}$$ about the axis which lies in the plane of disc and passing through its centre. The radius of gyration of disc about this axis is

Three identical masses are kept at the corners of an equilateral triangle ABC. A moves towards B with a velocity V, B moves towards C with velocity V, and C moves towards A with same velocity V. Then the velocity of center of mass of the system of particles is 

The moment of inertia of two equal masses each of mass m at separation l connected by a rod of mass M. about an axis passing through centre and perpendicular to length of rod is.

Find the gravitational force of attraction between a particle of mass m and a uniform slender rod of mass M and length L for the two orientations shown in the figure.

A football rolls through the ground. The path followed by center of mass of football is:

A diatomic molecule is formed by two atoms which may be treated as mass points $${m}_{1}$$ and $${m}_{2}$$, joined by a massless rod of length $$r$$. Then the moment inertia of the molecule about an axis passing through the centre of mass and perpendicular to rod is

Centre of mass of two uniform rods of the same length but made up of different materials and kept as shown, if the meeting point is the origin of co-ordinates

Centre of mass is a point 

An object comprises of a uniform ring of radius R and a uniform chord AB (not necessarily made of the same material) as shown. Which of the following cannot be the centre of mass of the object?

The object in figure is constructed of uniform wire bent into the shape from for the figure shown below the center of mass w.r.t. given frame is