What Is the Oscillation Amplitude at Various Points on a Vibrating String?

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NivekOh
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Homework Statement


A 2.0 m long string vibrates at its second harmonic frequency with a maximum amplitude of 2.0cm. One end of the string is at x = 0cm. Find the oscillation amplitude at x = 10,20,30,40, and 50cm.


Homework Equations



A(x) = 2asin(kx)
k= 2pi/wavelength

The Attempt at a Solution


I tried plugging the numbers into the equatio, but couldn't get the right answer. Can someone get me on the right track?
 
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I'm not sure why you have a two in your equation for Amplitude. Because you're on the second harmonic, the total 2m leingth of the string is your wavelength. The 2.0 cm is your amplitued a. Plug and solve without the 2.
Also, make sure you use consistent units. Change your cm to meters.