Q. 21

# The displacement

Given:

Displacement equation of an elastic wave y = 3sinωt + 4cosωt

Let 3 = Acosθ and 4 = Asinθ, then the equation for displacement becomes:

by using the property

we have ,

Which is the equation for a simple harmonic wave with amplitude A and phase difference θ. For θ we have

For amplitude A, squaring and adding 3 = Acosθ and 4 = Asinθ, we have

And

Therefore, the equation for the wave becomes

with its amplitude being 5 m.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

For the harmonic Physics - Exemplar

In the given progPhysics - Exemplar

Given below are sPhysics - Exemplar

During propagatioPhysics - Exemplar

A 2 m-long stringHC Verma - Concepts of Physics Part 1

The transverse diPhysics - Exemplar

A transverse harmPhysics - Exemplar

Two successive reHC Verma - Concepts of Physics Part 1

The displacement Physics - Exemplar

The displacement Physics - Exemplar