Question

Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3 m each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be √x m. The value of x is _______ .

Answer 1

dcm= 3sin 45°=$\frac{3}{\sqrt2}$
dcm=$\frac{2}{3}$×$\frac{3}{\sqrt2}$
=$\sqrt2$=$\sqrt x$
x=2