Question 265: Centre of Mass and Rotational Motion

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 $$\sqrt x$$ m. The value of x is ____________.

Accepted Answer

$${d_{cm}} = 3\sin 45^\circ  = {3 \over {\sqrt 2 }}$$
$${d_{cm}} = {2 \over 3} 	imes {3 \over {\sqrt 2 }} = \sqrt 2  = \sqrt x $$
$$x = 2$$

Centre of Mass and Rotational Motion

Integer / Numeric Answer Type