Waves and Oscillations_LP_2_Spring-2017

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Presentation transcript:

WELCOME

2 Waves and Oscillations Schoology F3KC7-CQSXQ

3 Waves and Oscillations Average Kinetic Energy of Oscillating Body Average Potential Energy of Oscillating Body Problems

Energy of a body executing S.H.M. Potential energy of the particle 4 Waves and Oscillations

5 Average Energy of a body executing S.H.M. Potential energy of the particle at displacement y is So, the average P E of the particle over a complete cycle or a whole time period T Waves and Oscillations

The average value of both a sine and a cosine function for a complete cycle or a whole time period T is zero. Average Energy of a body executing S.H.M.

Energy of a body executing S.H.M. Potential energy of the particle Kinetic energy of the particle 7 Waves and Oscillations

8 Average KE of a body executing S.H.M. Kinetic energy of the particle at displacement y is So, the average K E of the particle over a complete cycle or a whole time period T Waves and Oscillations

Thus, the average value of KE of the particle =average value of PE of the particle = = half of the total energy The average K E of the particle is Average Energy of a body executing S.H.M.

Waves and Oscillations Calculate the displacement to amplitude ratio for a simple harmonic motion when kinetic energy is 90% of total energy. Problem

Home Work  What is the ratio of kinetic energy at displacement one fourth to one third of the amplitude in case of simple harmonic motion?  A simple harmonic oscillator is characterized by Calculate the displacement at which kinetic energy is equal to its potential energy.

? ?

Thank You