U1L20p2 Simple Harmonic Motion (SHM) | Velocity & Displacement | Period Formula | BAS203 AKTU Sem 2
ENGINEERING MATHEMATICS-II (BAS203) | AKTU B.Tech 1st Year Sem 2
Welcome to EduGlue AKTU – your exam-focused problem-solving partner.
Downloads the notes here: https://play.google.com/store/apps/de...
🎓 Explore the full AKTU syllabus with easy-to-understand videos, notes, and study material!
👉 For this subject: https://www.eduglue.in/courses/785025
📚 Browse all subjects here: https://www.eduglue.in/courses
Helpline No. – 91 8948193165
Join Telegram: https://t.me/eduglue
In this video lecture with notes, we complete the Simple Harmonic Motion (SHM) application of Differential Equations – a very important topic for AKTU semester exams.
📌 SHM Differential Equation:
d²x/dt² = -μ²·x or d²x/dt² + μ²·x = 0
📌 Important Exam Problem:
A particle moving in SHM has velocities v₁ and v₂ at distances x₁ and x₂ from the center. Prove that the period is:
T = 2π √[(x₂² - x₁²)/(v₁² - v₂²)]
0:00 – SHM solution using second order DE
1:32 – Initial condition 1: at t=0, x = a
2:32 – Initial condition 2: at t=0, v = 0
3:09 – Displacement: x = a·cos μt
3:19 – Velocity: v = dx/dt = -aμ·sin μt
3:36 – Derive velocity-displacement relation:
4:41 – Important Exam Problem
This video is part of our ENGINEERING MATHEMATICS-II complete syllabus playlist for AKTU first year sem 2.
Useful for all branches – AKTU CSE, CS, IT, EC, EE, ME, CE – basically AKTU BTech first year students.
✅ Why watch?
• Complete SHM solution with initial conditions
• Derivation of velocity-displacement relation
• Important period formula proof (exam favorite)
• Step-by-step application of differential equations to physics
• Perfect for AKTU semester exam preparation
🔔 Subscribe to EduGlue AKTU for more AKTU tutorials, unit-wise videos, aktu notes, and AKTU important questions.
👍 Like, Share & Comment your doubts.
#AKTU #EngineeringMathematics2 #BAS203 #SimpleHarmonicMotion #SHM #PeriodFormula #AKTUSem2 #EduGlueAKTU #AKTUFirstYear #DifferentialEquations #AKTUExamPrep