JEE MAIN - Physics (2022 - 25th July Evening Shift - No. 19)

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 ____________.
Answer
2

Explanation

JEE Main 2022 (Online) 25th July Evening Shift Physics - Center of Mass and Collision Question 34 English Explanation

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

$${d_{cm}} = {2 \over 3} \times {3 \over {\sqrt 2 }} = \sqrt 2 = \sqrt x $$

$$x = 2$$

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