JEE Main 202122 JulyMorning Shift

Exam: JEE Main
Year: 2021
Date: 22 July
Shift: Morning Shift
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

JEE Main 2021 · 22 July · Morning Shift · Physics · Center of Mass, Momentum and Collision

The position of the centre of mass of a uniform semi-circular wire...

The position of the centre of mass of a uniform semi-circular wire of radius $R$ placed in $x - y$ plane with its centre at the origin and the line joining its ends as $x -$ axis is given by, \left(0, \dfrac{xR}{\pi}\right) . $Then, the value of$ | x | is .

Correct answer

Step-by-step solution

COM of semi-circular ring is at $\dfrac{2R}{\pi}$

The position of the centre of mass of a uniform semi-circular wire of radius R placed in x - y plane with its centre at

Distance from centre $⇒ x = 2$

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

Two identical bodies A and B of equal masses have initial velocities v_1 = 4 i m/s and… JEE Main 2026 The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect… JEE Main 2026 Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which… JEE Main 2026 The position of an object having mass 0.1 kg as a function of time t is given as r =… JEE Main 2026 A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses… JEE Main 2026 In a perfectly inelastic collision, two spheres made of the same material with masses 15… JEE Main 2026 Given below are two statements : Statement I : For a mechanical system of many particles… JEE Main 2026 In a scattering experiment, a particle of mass 2 m collides with another particle of mass… JEE Advanced 2025 Full Center of Mass, Momentum and Collision list All JEE Main PYQs