Question

Three point masses of 0.5 kg , 1.5 kg and 2.5 kg are
located in xy plane at point (2,-3), (3,5) and (-4,-6)
respectively. What are the coordinates of the centre of mass
of the system.​

Answer 1

Answer:

From the question,

we have (0,0),(3,0) and (0,4) to be the co-ordinates of mass 1kg,1.5kg and 2.5kg (assuming 1kg at origin)

X

com

is given by

∑mi

∑mixi

=

1+1.5+2.5

1×0+1.5×3+2.5×0

=

5

4.5

=0.9cm

Y

com

is given by

∑mi

∑miyi

=

1+1.5+2.5

1×0+1.5×0+2.5×4

=

5

2.5×4

=

2

4

=2cm

∴ The centre of mass is 0.9 cm to the right and 2 cm above the mass of 1kg