Three identical spheres each of mass M are placed at the corners of a… | JEE Main 2022 (25 Jul, Shift 2)

Q13JEE Main 2022 · 25 JUL · SHIFT 2Easy

Centre of Mass of Discrete Particles

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 ____________.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 2

Masses $M$ at $(0,0)$ , $(3,0)$ and $(0,3)$ m.
$x_{cm} = \frac{3}{3} = 1$ m, $y_{cm} = 1$ m
$|\vec{r}_{cm}| = \sqrt{1^2 + 1^2} = \sqrt{2}$ m
So $x = 2$ .

Report a mistake

More questions on Centre of Mass of Discrete Particles

Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid…NEET 2020 (Phase 1)
In system of two particles of masses m₁ and m₂, the first particle is moved by a distance…MHT CET 2020 (19 Oct, Shift 2)
Three identical spheres, each of mass M, are placed at the corners of a right angle…NEET 2020 (Phase 2)
Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of…JEE Main 2020 (7 Jan, Shift 1)
Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an…JEE Main 2019 (12 Apr, Shift 2)
Which of the following statements are correct? (1) Centre of mass of a body always…NEET 2017
Three masses are placed on the x-axis: 300 g at origin, 500 g at x = 40 cm and 400 g at x…NEET 2012 (AIPMT, Mains)
Two bodies of mass 1 kg and 3 kg have position vectors i + 2j + k and -3i - 2j + k…NEET 2009 (AIPMT)

Centre of Mass of Discrete Particles question from JEE Main 2022 (25 Jul, Shift 2)

More questions on Centre of Mass of Discrete Particles