The centre of mass of a system of three particles of masses and is taken as the origin of a coordinate system. The position vector of a fourth particle of mass such that the centre of mass of the four particle system lies at the point (1, 2, 3) is , where is a constant. The value of is |
||||||||

a) |
b) |
c) |
d) |

The centre of mass of a system of three particles of masses and is taken as the origin of a coordinate system. The position vector of a fourth particle of mass such that the centre of mass of the four particle system lies at the point (1, 2, 3) is , where is a constant. The value of is |
||||||||

a) |
b) |
c) |
d) |

1 Answer - 5876 Votes

3537

**(b)**

The coordinates of masses and are

or

The value of can also be calculated by and as shown below

or

or