Oscillations (SHM) for JEE

• SHM when restoring force F = −kx
• Phase decides position and velocity at any time
• Total energy stays constant, ½kA²
• Springs in series and parallel combine like capacitors in reverse

• x = A sin(ωt + φ), ω = √(k/m)
• v = ω√(A² − x²), a = −ω²x
• T (spring) = 2π√(m/k), T (pendulum) = 2π√(L/g)
• Series: 1/k = 1/k₁ + 1/k₂; parallel: k = k₁ + k₂

Printable Oscillations (SHM) formula sheet: formulas, key ideas and traps on one page. Save it as a PDF for offline revision.

• Using the pendulum formula for large angles
• Forgetting the effective g in a lift or accelerating frame
• Confusing angular frequency with frequency

Appears frequently. Phase and energy questions are frequent. Draw the reference circle to find time between two positions.

Prerequisites: Laws of Motion and Friction.

Chapter names follow the current rationalised NCERT textbooks. Read these sections before solving PYQs.

Question. A block of mass m = 0.5 kg is attached to a horizontal spring (k = 200 N/m) and rests on a frictionless surface. Another block of mass M = 1.5 kg is placed on top of it. The coefficient of friction between the two blocks is μ = 0.4. What is the maximum amplitude of oscillation such that the upper block does not slip on the lower block? (Take g = 10 m/s²)

This example was solved twice independently and both solutions agree.

Full-chapter free lectures picked from YouTube search results by views, from established JEE channels (mostly in Hinglish). Use the subtopic list to jump straight to the part you need (timestamps come from each video's own chapter list). Watch one, then solve PYQs the same day.

• OSCILLATIONS in One Shot: All Concepts & PYQs Covered | JEE Main & Advanced — JEE Wallah, 4:29:46
  Jump to a subtopic (14)

  • 00:00 Introduction
  • 00:56 Topics to be covered
  • 01:56 Important terms
  • 17:03 Necessary condition of SHM
  • 41:17 Velocity and Acceleration of particle in SHM
  • 1:02:00 Energy in SHM
  • 1:10:02 Phasor diagram
  • 1:54:39 Time period of simple pendulum
  • 2:11:49 Important cases
  • 2:43:03 Torsional pendulum
  • 2:54:21 Compound pendulum
  • 3:18:14 Time period of spring block pendulum
  • 3:24:40 Important cases
  • 4:28:33 Thank You Bacchon
• Simple Harmonic Motion FULL CHAPTER | Class 11th Physics | Arjuna JEE — Arjuna JEE, 3:27:27
  Jump to a subtopic (15)

  • 00:00 Introduction
  • 03:31 Periodic & Non -Periodic Motion
  • 31:58 Oscillation
  • 43:10 Simple Harmonic Motion
  • 48:42 Linear SHM About Origin
  • 1:56:34 Energy of SHM
  • 2:15:22 Spring Block Oscillation
  • 2:28:20 Angular SHM
  • 2:31:00 Simple Pendulum
  • 2:48:23 Compound Pendulum
  • 2:58:45 SHM of Multiple Bodies
  • 3:09:07 Addition of SHMs
  • 3:15:53 Damped Oscillation
  • 3:24:48 Forced Oscillation
  • 3:27:09 Thank you, bacchon!

• 8 JEE Main 2026 PYQs on Oscillations (SHM), with solutions.
• Read the chapter in NCERT textbooks (official, free), then solve its NCERT Exemplar (official, free) questions.
• Chapter-wise past questions: JEE Main and Advanced PYQs and question bank.
• Timed practice tests: NTA Abhyas practice tests (official, free) and our free mock tests.
• See it move: interactive simulation.