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← JEE Main 2022 · 25 Jul · Shift 2
PhysicsInteger+4 / -1Question 52 of 90

JEE Main 2022 · 25 Jul · Shift 2, Physics question 52

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\sqrt x m. The value of xx is ______.

Answer and worked solution

Official answer: 2

Masses at (0,0)(0,0), (3,0)(3,0), (0,3)(0,3): centre of mass (1,1)(1,1), distance 2\sqrt2.

Answer: 2