Where will be the centre of mass on combining two masses m and `M(M gt m)`?

Find the acceleration of centre of mass of the blocks of masses m_1, m_2 (m_1 gt m_2) in Atwood's machine.

Find the acceleration of center of mass of the blocks of masses m_(1) and m_(2) (m_(1)gt m_(2)) in Atwood's machine :

The reduced mass of two particles having masses m and 2m is

The centre of mass of a system of two particle of masses m_1 and m_2 is at a distance d_1 from mass m_1 and at a distance d_2 from mass m_2 such that.

The centre of mass of a system of two particle of masses m_1 and m_2 is at a distance d_1 from m_1 and at a distance d_2 from mass m_2 such that.

The centre of mass of a system of two particles of masses m_(1) and m_(2) is at a distance d_(1) from m_(1) and at a distance d_(2) from mass m_(2) such

A pair of stars rotates about their centre of mass One of the stars has a mass M and the other has mass m such that M =2m The distance between the centres of the stars is d (d being large compared to the size of either star) . The ratio of kinetic energies of the two stars (K_(m) //K_(M)) is .

A pair of stars rotates about their centre of mass One of the stars has a mass M and the other has mass m such that M =2m The distance between the centres of the stars is d (d being large compared to the size of either star) . The ratio of kinetic energies of the two stars (K_(m) //K_(M)) is .

The centre of mass of two masses m & m' moves by distance (x)/(5) when mass m is moved by distance x and m' is kept fixed. The ratio (m')/(m) is