BACHELOR OF SCIENCE Chapter Notes - Chapter 2-4: Simple Harmonic Motion, Pendulum, Differential Equation

• School: University of Delhi - DU
• Department: Mathematics
• Course: BACHELOR OF SCIENCE

Document Summary

Simple harmonic motion or shm is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Shm or simple harmonic motion can be classified into two types. Angular shm is defined as the oscillatory motion of a body in which the torque for angular acceleration is directly proportional to the angular displacement. Its direction is opposite to that of angular displacement. Differential equation of shm (linear simple harmonic motion) d2x/dt2 + 2x = 0, is the differential equation for linear simple harmonic motion. Differential equation of shm (angular simple harmonic motion) The acceleration of a particle executing simple harmonic motion is given by, a (t) Here, is the angular velocity of the particle.