System of Parti...

Two particles A and B, initially at rest, moves towards each other under a mutual force of attraction. At the instant when the speed of A is $$u$$ and the speed of B is $$2 u$$, the speed of centre of mass is

Two particles $$A$$ and $$B$$ (both initially at rest) start moving towards each other under a mutual force of attraction. At the instant when the speed of $$A$$ is $$v$$ and the speed of $$B$$ is $$2v$$, the speed of the centre of mass is

A calcite crystal is placed over a dot on a paper sheet and the crystal is rotated. On viewing through the calcite one sees

If the external forces acting on a system have zero resultant, the cenrre of mass

The centre of gravity of a rod (of length $$L$$), whose linear mass density varies as the square of the distance from one end is at :

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 of inertia of the molecule about an axis passing through the centre of mass and perpendicular to rod is :

Sagar was playing with the spinning top, after some time he realized that motion of top is same as motion of earth spinning about its own axis. Identify the type of motion?

Which of the following doesn't represent rotatory motion?

A body of mass $$m_{1} = 4\ kg$$ moves at $$5\hat {i}m/s$$ and another body of mass $$m_{2} = 2\ kg$$ moves at $$10\hat {i} m/s$$. The kinetic energy of centre of mass is :