📚 IIT–JEE Physics Complete Learning Hub
🔹 Core Physics Libraries
- 🔁 Simple Harmonic Motion (SHM) – Complete Library (IIT–JEE Advanced)
- 🌊 Mechanical Waves – JEE Advanced Objective Library
- 🧠 IIT–JEE Physics Complete Master Library
🔹 Central Learning Platforms
📌 Structured • Exam-Oriented • IIT–JEE Advanced Focused Learning
Stage 3 – Page 10
Simple Harmonic Motion – Final Capsule (JEE Advanced)
1. One-Line SHM Definition (Exam Safe)
A motion is SHM if acceleration is directly proportional to displacement and always directed towards the mean position.
If restoring force ∝ displacement → SHM
2. Master Formula Sheet (Must-Recall)
| Quantity | Formula |
|---|---|
| Angular frequency | ω = √(k/m) |
| Time period | T = 2π/ω |
| Maximum speed | vmax = Aω |
| Maximum acceleration | amax = Aω² |
| Total energy | E = ½kA² |
3. Energy Distribution (High Frequency PYQ)
- At mean position → KE maximum
- At extreme position → PE maximum
- Total energy constant (ideal SHM)
If energy changes → NOT ideal SHM
4. Spring + Gravity (Vertical SHM Trap)
Gravity shifts mean position only.
Time period independent of gravity
Most students wrongly include g in T
5. Circular Motion Link (Direct JEE Question)
Projection of uniform circular motion on diameter → SHM
x = A cos(ωt)
Phase interpretation is compulsory
6. Damping – Absolute Clarity
- Light damping → oscillatory
- Critical damping → fastest return, no oscillation
- Heavy damping → slow return
Frequency decreases with damping
7. Resonance – Ultimate Trap Zone
Displacement resonance ≠ velocity resonance
- Displacement resonance < ω₀
- Velocity resonance = ω₀
- Power resonance = ω₀
Never assume resonance blindly
8. PYQ Thinking Pattern
- Identify restoring force direction
- Check proportionality with displacement
- Convert physical situation to equation
- Eliminate non-SHM motions
9. 5 Golden Exam-Day Rules
- Never rush phase-based questions
- Always draw rough diagram
- Check limiting cases
- Dimensions must match
- Re-read resonance questions twice
FINAL SHM SUMMARY
✔ SHM = restoring force + proportionality
✔ Energy & phase are key
✔ Damping & resonance decide rank
🎯 STAGE 3 COMPLETE – SHM MASTERED 🎯
Next: Waves / Oscillations Mixed PYQs
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