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🌀 Master System of Particles & Rotational Motion
NCERT Class 11 · Chapter 6
Real PYQs from top competitive exams — filter by exam, attempt each question, track your progress and submit to see your full score report.
50
Real PYQs
5
Exam Bodies
15+
Years Covered
~12%
Exam Weightage
PYQs Overview
Moment of Inertia
I = Σmr²; formulae for ring, disc, sphere, rod — #1 most asked.
★★★★★
95% Frequency
Torque & Angular Acceleration
τ = Iα; rotational analogue of F = ma.
★★★★★
90% Frequency
Angular Momentum & Conservation
L = Iω; L conserved when τ_net = 0. Diver, spinning top.
★★★★★
88% Frequency
Rolling Motion
Rolling without slipping: v_cm = Rω; KE = ½mv² + ½Iω².
★★★★☆
84% Frequency
Parallel & Perpendicular Axis Theorems
I_new = I_cm + Md²; for laminas — connect all MI formulae.
★★★★☆
80% Frequency
Centre of Mass
CM position, CM velocity for system of particles.
★★★★☆
70% Frequency
Topic Frequency
💡 Did You Know?
- MI formula asked in every JEE Main
- Rolling without slipping — zero skips in JEE Advanced
- Angular momentum conservation — 12× in NEET
- Parallel axis theorem — asked 9× in JEE Main
- Chapter 7 = highest JEE weightage in Unit 3
Key Takeaways
MI depends on axis AND mass distribution
Ring > Disc > Sphere (for same mass and radius about central axis).
τ_net = Iα is the rotational F = ma
Every torque must be about the same axis. Sign convention matters.
Rolling: KE_total = ½mv²(1 + I/mR²)
For disc: 3/4 mv². For ring: mv². For solid sphere: 7/10 mv².
Angular momentum L = Iω = mvr (for particle)
Conservation: skater pulls arms in → ω increases.
Parallel axis: I = I_cm + Md²
Only works when one axis passes through CM.
CM of uniform rod: at midpoint
CM of semicircular ring: 2R/π from centre.
Study Strategy
1
Rotational AnaloguesDay 1–2
Map every linear quantity to its rotational analogue.
2
Moment of InertiaDay 3
Derive MI for ring, disc, sphere, rod. Parallel and ⊥ axis theorems.
3
Torque & EquilibriumDay 4
Torque calculations, couple, rotational equilibrium — 20 problems.
4
Angular MomentumDay 5
Conservation problems — skater, diver, spinning top — 15 problems.
5
Rolling MotionDay 6
Rolling on incline, KE split — 20 problems.
6
Attempt All PYQsDay 7
MI formula identification and rolling motion are top priorities.
7
Mock TestDay 8
30-Q timed. Rolling + angular momentum conservation = ~40% of marks.
🗓️ 8-Day Chapter Plan
| Day 1–2 | Rotational Analogues |
| Day 3 | Moment of Inertia |
| Day 4 | Torque & Equilibrium |
| Day 5 | Angular Momentum |
| Day 6 | Rolling Motion |
| Day 7 | Attempt All PYQs |
| Day 8 | Mock Test |
🧠 Pro Tip: Chapter 7 has the highest JEE weightage in mechanics. Master the 5 standard MI formulae — they appear directly in MCQs.
🚀
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Real PYQs, topic-wise overview, key takeaways and an 8-day strategy — all in one place.
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Systems Of Particles And Rotational Motion | Physics Class -11
Systems Of Particles And Rotational Motion | Physics Class -11 — Complete Notes & Solutions · academia-aeternum.com
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