Condition for Simple Harmonic Motion
Restoring force is directly proportional to displacement from mean position and directed towards equilibrium (F = -kx, a = -ω²x).
Grade 11th · Physics · Oscillations
Oscillations: Simple Harmonic Motion (SHM) & Simple Pendulum: Core Theory, Derivations & Solved Proofs
In-depth theoretical breakdown, mathematical derivations, foundational axioms, and step-by-step proofs. covering Oscillations: Simple Harmonic Motion (SHM) & Simple Pendulum for Class 11th Physics.
Science StreamAdvanced Level
Advertisement
⚡
Essential Formulas & Mathematical Definitions
x(t) = A sin(ωt + φ)
v(t) = ω √(A² - x²)
a(t) = -ω² x
Pendulum: T = 2π √(L/g)
Spring: T = 2π √(m/k)
Energy in SHM
Total mechanical energy is constant: E = ½ k A² = ½ m ω² A². At mean position (x=0), all energy is KE; at extremes (x=±A), all energy is PE.
Oscillations — Core Theory, Derivations & Solved Proofs
Detailed educational reference for Oscillations: Simple Harmonic Motion (SHM) & Simple Pendulum. Designed for Class 11th students preparing for board exams and competitive entrance tests.
📋
Exam Day Revision & Problem Solving Checklist
- ✓Time period of simple pendulum is independent of bob mass and oscillation amplitude
- ✓Identify frequency f = 1/T and angular frequency ω = 2πf
- ✓Review Core Theory, Derivations & Solved Proofs before tackling multi-step practice questions
🎯
High-Yield Exam Strategy & Scoring Tips
Step-by-Step Mark Allocation
Always state the governing principle or formula first, write given values with standard SI units, substitute clearly, and highlight the final numerical answer with units in a box for full step marking.
Common Calculation Traps
Watch for unit prefixes (cm to m, minutes to seconds, g to kg, degrees to radians). In coordinate and ray optics problems, double-check Cartesian sign conventions before computing.
Recommended Practice & Calculation Tools
Test your understanding and perform instant calculations with these free online utilities.
Scientific Physics Motion & Electricity Calculator
Solve core physics formulas for Grade 10th, 11th, and 12th: motion kinematics, force, Ohm's law, and wave physics.
More Physics Chapters for Grade 11th
View All →Units and Measurements
Units, Dimensions & Error Propagation
Master Units, Dimensions & Error Propagation for Grade 11th Physics. Includes verified formulas, core concepts, step-by-step checklists, and interactive solver tools.
Units and MeasurementsUnits, Dimensions & Error Propagation: Core Theory, Derivations & Solved Proofs
In-depth theoretical breakdown, mathematical derivations, foundational axioms, and step-by-step proofs. covering Units, Dimensions & Error Propagation for Class 11th Physics.
Units and MeasurementsUnits, Dimensions & Error Propagation: Formula Cheat Sheet & Solved Numericals
Complete formula reference, variable dimensions, numerical step-by-step problem-solving templates, and sample calculations. covering Units, Dimensions & Error Propagation for Class 11th Physics.
Units and MeasurementsUnits, Dimensions & Error Propagation: Exam Revision Checklist & High-Yield PYQs
Board exam previous year questions, high-frequency question patterns, common calculation traps, and rapid revision notes. covering Units, Dimensions & Error Propagation for Class 11th Physics.
Frequently Asked Exam Questions & Concept Clarifications
What is second's pendulum?
A pendulum whose time period is exactly 2 seconds (length ≈ 0.993 m on Earth surface).