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Saturday, 31 October

JEE Main · Physics · System of Particles and Rotational Motion

COM of Non-Uniform Rod

JEE Main asked COM of Non-Uniform Rod 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2022. It belongs to Center of Mass, in System of Particles and Rotational Motion (Physics). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Physics questions.

00.050.10’170.08’200’210.03’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20221 of 24
  • 20210 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: calculation.

  • Centre of mass of rod with variable density
  • Centre of mass of non-uniform rod

Difficulty

Easy 1Medium 1Hard 0

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 28 Jul 2022, Shift 2 · Q22The distance of centre of mass from end A of a one dimensional rod (AB) having mass density ρ=ρ0(1−x2L2)\rho=\rho_0\left(1-\frac{x^2}{L^2}\right)…MediumNumerical value
  2. 9 Jan 2020, Shift 2 · Q5A rod of length LL has non-uniform linear mass density given by ρ(x)=a+b(xL)2\rho(x) = a + b\left(\frac{x}{L}\right)^2, where aa and bb are…EasySingle correct

Shifts: 9 Jan 2020, Shift 2, 28 Jul 2022, Shift 2.

Same topic

Other ideas in Center of Mass

Center of Mass has 13 ideas JEE Main has asked; 5 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas