A string of length L fixed at both ends vibrates in its fundamental

Question:

A string of length $L$ fixed at both ends vibrates in its fundamental mode at a frequency $v$ and a maximum amplitude A.

a. Find the wavelength and the wave number $k$.

b. Take the origin at one end of the string and the $X$-axis along the string. Take the $Y$-axis along the direction of the displacement. Take $\mathrm{t}=0$ at the instant when the middle point of the string passes through its mean position and is going towards the positive $y$-direction. Write the equation describing the standing wave.

Solution:

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now