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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)


Question ID - 53872 | Toppr Answer

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

Answer Key : (b) -

(b)

The  coordinates of masses  and  are

 or

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

 or

 or



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