Wave Theory Questions & Answers

[pinsky]

Hello there.

Can someone pleas shed lite on some of these questions.

How does one mathematically calculate (wave equation of a string that has one end tied on a unmoveable wall. The second wave is after reflecting from the wall) the first wave is known to us (u0 omega and k)

$$u_0 \; Sin(\omega t - kx)=- u_0' \; Sin(\omega t + kx + \phi)$$

Conditions for a wave on a string which has a lose end. Why does that point has to always have a maximum amplitude when the string is oscillating?

When we apply a short impulse (force*time) on a string which is attached between two unmovable walls, does it always start to resonate? What determines the harmonic level of the resonation?


have a nice day

 

[facenian]

Hello there.
Conditions for a wave on a string which has a lose end. Why does that point has to always have a maximum amplitude when the string is oscillating?

Because of your boundary condition the tangent to the string at the loose end have to be horizontal otherwise you would have a vertical component of force owed to the string tension