The expression for the centre of the mass of the spheres is,
xCM= The centre of the mass of the spheres along the
x axis is calculated as,
xCM=(0+2√3+√3) = =√3 The centre of the mass of the spheres along the
y axis is calculated as,
yCM=(0+0+3) =1 The coordinates of the centre of the mass of the sphere is
CCM=(√3,1) According to the given condition, the centre of sphere when one sphere is removed is,
xCM′= =√3 The below diagram is a representation of spheres after the exclusion of one sphere.
The new coordinates of the centre of mass of the spheres is
CCM′=(√3,0), which implies that the centre of the mass is shifted by
1m in
y direction.