JEE Main 202117 MarchEvening Shift

Exam: JEE Main
Year: 2021
Date: 17 March
Shift: Evening Shift
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

JEE Main 2021 · 17 March · Evening Shift · Physics · Center of Mass, Momentum and Collision

The disc of mass M with uniform surface mass density σ is shown in...

The disc of mass $M$ with uniform surface mass density $\sigma$ is shown in the figure. The center of mass of the quarter disc (the shaded area) is at the position $\left(\dfrac{xa}{3\pi}, \dfrac{xa}{3\pi}\right)$ where $x$ is _______ . (Round off to the Nearest Integer) [ $a$ is an area as shown in the figure]

The disc of mass M with uniform surface mass density σ is shown in the figure. The center of mass of the quarter disc

Correct answer

Step-by-step solution

C.O.M of quarter disc is at $\dfrac{4a}{3\pi}, \dfrac{4a}{3\pi}$

$= 4$

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