Q.11 - Excercises And Problems

Expert-verifiedFound in: Page 415

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

An object in simple harmonic motion has amplitude and frequency , and at it passes through the equilibrium point moving to the right. Write the function that describes the object’s position.

function that describes the object's position is

amplitude

frequency

The wave equation is in the form

The angular frequency is in the form

The initial condition is at , the object passes through the equilibrium to the right.

In order the cosine term to be zero it should satisfy the following condition:

The object is moving right in positive direction, so its velocity is positive at . The velocity function is the derivative of the position function:

Then, should be negative, therefore should be negative

The equation now takes the form of substituting the values of angular frequency

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