Three particles of masses 0.50 kg, 1.0 kg and are placed at the corners of a right angle triangle, as shown in fig. Locate the centre of mass of the system.

Options

A. (1.3,1.5)
B. (2.3, 1.5)
C. (1.3, 2.5)
D. (2.3, 2.5)

Answer

A

Explanation

The figure given in question is

Let X and Y-axes be along AB and AC respectively, the coordinates of center of mass would be
`X_(CM) = (0.5 xx 0 + 1xx4+1.5xx0)/(1.5+1+0.5)= (1.5 xx3)/(3) = 1.5`
Hence, (X,Y) = (1.3,1.5)`