JEE Advanced – Simple Harmonic Motion (SHM)

Final Revision & Exam Strategy – Page 7

Simple harmonic motion material

Purpose: This page converts preparation into marks & rank.

A. MUST-REMEMBER CORE FORMULAS

x = A sin(ωt + φ)
v = ω√(A² − x²)
a = −ω²x
ω = √(k/m)
T = 2π√(m/k)
E = ½kA² (Total Energy)
KE = ½k(A² − x²)
PE = ½kx²
a_max = ω²A
v_max = ωA

Tip: Never derive in exam — recall directly.

B. 15 GOLDEN RULES FOR SHM (RANK BOOSTERS)

Mean position ≠ zero velocity
Extreme position ≠ zero acceleration
Time is NOT symmetric in SHM
Energy conserved only if system intact
Amplitude does NOT affect time period
Gravity shifts equilibrium only
Sudden stop ⇒ use instantaneous energy
Phase difference ≠ displacement difference
Use sine/cosine based on starting point
Maximum power is NOT at mean position
Jerk ∝ velocity
Angular SHM ≠ linear SHM variables
Graphs reveal equations instantly
Always check limiting cases
Eliminate wrong options before solving

C. HOW TOPPERS ATTEMPT SHM QUESTIONS

First identify: energy / time / phase / graph
Decide conservation law in first 10 seconds
Avoid unnecessary algebra
Use symmetry & elimination
Skip sudden-change problems initially
Return with calm mind

D. COMMON EXAM TRAPS (FINAL WARNING)

Blind use of energy equation
Wrong equation due to wrong initial condition
Mixing angular & linear formulas
Ignoring direction signs
Assuming damping = zero always

Examiner Psychology: Options look simple — logic is hidden.

E. LAST-DAY REVISION PLAN (24 HOURS)

Revise formulas (30 min)
Revise traps list (20 min)
Solve 10 objective questions (40 min)
Analyze mistakes (30 min)
Light revision only — no new problems

FINAL MESSAGE TO STUDENT

If you understand SHM conceptually, JEE Advanced cannot defeat you here.

JEE Advanced SHM – COMPLETE MODULE FINISHED 🎯

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🔹 Simple Harmonic Motion (SHM) — Core Series

Coverage: Concepts → PYQs → Advanced Thinking → Exam Readiness

🔹 Simple Harmonic Motion (SHM) — Extended Series (30–56)

These pages are placed separately for continuity & reference.

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