If three particles of masses 2kg 1kg and 3kg

Asked by admin @ 20/08/2021 in Physics viewed by 337 People

if three particles of mases 2kg,1kg,3kg are placed at corners of an equilateral triangle of perimeter 6m then the distance of centre of mass which is at origin of particles from 1kg mass is (assume 2kg on x axis)

Answered by admin @ 20/08/2021

2kg,3kg be on the x-axis
each side is 6m long.
co-ordinates of 1kg = (6,0)
co-ordinates of 2kg = (0,0)
co-ordinates of 3kg = (3,3*(31/2)) (pythagoras th.)
equation for co-ordinates of c.o.m.=
∑mixi/∑mi
∑miyi/∑mi
X = (1(6)+2(0)+3(3))/1+2+3 = 2.5
Y = (1(0)+2(0)+3(3*(3^1/2)))/1+2+3 = (3*(31/2))/2
co-ordinates = (2.5,(3*(31/2))/2)
Using distance formula = ((x2-x1)2+(y2-y1)2)1/2
= 9 + 6.75 = 15.75 units

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