NEET · Physics —

System of Particles and Rotational Motion appeared 2 times across 1 year — 4.4% of Physics. This question is from Moment of Inertia of a Ring.

Year 2024 Total
Questions 2 2
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A thin wire of length ' L ' and linear mass density ' m ' is bent into a circular ring (in x - y plane) with centre ' C ' as shown in figure. The moment of inertia of the ring about an axis yy' will be :
Moment of Inertia of a Ring diagram for Q20 - NEET 2026 Code 12
Circular ring formed by wire of length L with axis yy' tangent to the ring.

Solution & Explanation

Related Formula

M = m L

L = 2π r ⇒ r = (L)/(2π) Iyy' = Idia + M r² = (1)/(2) M r² + M r² = (3)/(2) M r²
Core Logic
Iyy' = (3)/(2) (mL) ((L)/(2π))² = (3mL³)/(8π²)
Pattern Recognition

Parallel axis theorem applied to tangential axis in the plane of the ring.

Chapter Mix

Class 11 Physics: System of Particles and Rotational Motion

Reference Study Guides

System Of Particles And Rotational Motion

More System of Particles and Rotational Motion Previous-Year Questions

Q38 neet_2024_05_may_morning Rotational Kinematics Equations
The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number of revolutions completed by the flywheel during this time is :
  • A. 600
  • B. 900
  • C. 300
  • D. 150

Solution

Related Formula
θ = ((ω₁ + ω₂)/(2)) t N = (θ)/(2π)
Core Logic
ω₁ = 600 × (2π)/(60) = 20π rad/s ω₂ = 1200 × (2π)/(60) = 40π rad/s α = (40π - 20π)/(10) = 2π rad/s² θ = (20π)(10) + (1)/(2)(2π)(10)² = 300π rad N = (300π)/(2π) = 150

Alternatively, average rpm = (600+1200)/(2) = 900 rpm = 15 rps ⇒ N = 15 × 10 = 150.

Pattern Recognition

Average angular velocity multiplied by time gives total revolutions.

Chapter Mix

Class 11 Physics: System of Particles and Rotational Motion

More System of Particles and Rotational Motion Questions — neet_2024_05_may_morning

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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)