JEE Main Physics · Rotational Motion PYQ
JEE Main Rotational Motion Previous Year Questions (2002–2025)
Rotational Motion is one of the highest-weightage Physics chapters in JEE Main — consistently 1–2 questions per session, often appearing as multi-concept problems combined with Work-Energy or Electromagnetic Induction. Mastering this chapter alone closes 5–6 marks on exam day.
This page brings together Rotational Motion PYQs from 2002 to 2025, each tagged by sub-topic (MoI, angular momentum, rolling, torque) and difficulty. Every question has a step-by-step solution, links back to the underlying concept note and is bookmark-able to your personal notebook.
Rotational Motion at a Glance
Key Sub-Topics & What's Tested
Moment of Inertia
Calculation for standard bodies (ring, disc, sphere, rod), parallel-axis theorem, perpendicular-axis theorem, MoI about arbitrary axes.
Angular Momentum & Conservation
L = Iω and L = r × p formulations, conservation in isolated systems, collision problems with rotation.
Torque & Angular Acceleration
τ = Iα, torque as r × F, equilibrium conditions, friction-induced torque, pulley systems with rotational inertia.
Pure Rolling & Slipping
Rolling without slipping condition (v = ωr), energy distribution in rolling, inclined plane problems, rolling on horizontal surface.
Rotational Kinetic Energy
KE = ½Iω², work-energy theorem in rotation, combined translational + rotational KE for rolling bodies.
Kinematics of Rotational Motion
Angular displacement, velocity, acceleration, equations of rotational motion (analogous to linear), centripetal acceleration.
Centre of Mass of Rigid Bodies
Locating COM for symmetric and asymmetric systems, motion of COM under external forces.
Multi-Concept Problems
Rotation + WPE, rotation + SHM, rotation + Electromagnetic Induction (rotating rod in field) — the hardest category, but PYQs cluster into recognisable templates.
Question Type Distribution
| Question Type | Share (approx) | Example Pattern |
|---|---|---|
| Conceptual MCQ | 30% | Identify which body rolls down an incline fastest without slipping. |
| Numerical Calculation | 45% | Find the MoI of a composite body about a given axis using parallel axis theorem. |
| Multi-Concept | 20% | Rolling cylinder on an incline with friction + WPE application for linear velocity. |
| Assertion-Reason | 5% | Assertion: rolling body loses no energy. Reason: friction is static in pure rolling. |
How to Solve Rotational Motion PYQs
- 1Lock the standard MoI table. Ring, disc, sphere, cylinder, rod — parallel & perpendicular axis. PYQs assume you have these at instant recall.
- 2Start with conservation problems. Angular momentum conservation (before ↔ after) is the most repeated PYQ template — 25+ direct variants across 2015–2025.
- 3Draw the free-body diagram with torques, always. Include friction torque on inclined planes. 50% of wrong attempts miss this.
- 4Use energy conservation for rolling problems. ½mv² + ½Iω² with v = ωr. This handles most inclined-plane PYQs in under 90 seconds.
- 5Multi-concept PYQs: decompose first. Split into “what is conserved?” and “what changes?” Rotational Motion problems almost always involve one conserved quantity (L or E).
Common Mistakes That Cost Marks
- Forgetting to add translational KE for rolling bodies. KE = ½mv² + ½Iω² for a rolling body, not just ½Iω².
- Confusing parallel and perpendicular axis theorems. Parallel: I = I_cm + Md². Perpendicular: I_z = I_x + I_y (only for planar objects).
- Missing the direction of angular momentum. L is a vector — in 2D problems, sign matters for conservation questions.
- Using v = rω for slipping cases. Only valid for pure rolling (no slipping). Read the problem carefully for the slipping condition.
- Ignoring the sign convention for torques. CCW positive vs CW positive — pick one and stay consistent through the problem.
Related JEE Main Practice
Frequently asked questions
How many Rotational Motion PYQs should I solve?
Target 60–80 Rotational Motion PYQs across 2010–2025 for a solid P1 chapter mastery. Do the first 40 untimed (focus on approach), then the remaining timed (1.5 minutes each).
Is Rotational Motion harder in JEE Main or JEE Advanced?
JEE Advanced. Main tests standard templates (MoI calculation, angular momentum conservation, rolling on incline). Advanced layers in complex geometries, rotating frames and multi-body coupled rotation. Master Main first, then extend.
Do I need calculus for Rotational Motion PYQs?
Rarely in JEE Main. Integration shows up when deriving MoI for non-standard bodies, but PYQs mostly use standard MoI values. Calculus is needed for Advanced-level derivations, not Main-level problem solving.
What's the most common Rotational Motion PYQ pattern?
Rolling cylinder/sphere/ring on an inclined plane — find velocity at the bottom using energy conservation. Roughly 3–4 PYQs follow this exact template per 10-year window.
Should I use vector equations or scalar for angular momentum PYQs?
Scalar for 1D/2D problems (with sign convention for direction). Vector only for 3D or when the axis of rotation changes mid-problem. PYQs are 95% solvable with scalar equations + sign.
Does Rotational Motion appear in JEE Advanced too?
Yes — it's a high-yield chapter for Advanced as well, typically with 1–2 multi-concept questions per paper. Your Main-level PYQ practice transfers directly.
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