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A 2 m-long string fixed at both ends is set into vibrations in its first overtone. The wave speed on the string is 200 ms−1 and the amplitude is 0.5 cm. (a) Find the wavelength and the frequency. (b) Write the equation giving the displacement of different points as a function of time. Choose the X-axis along the string with the origin at one end and t = 0 at the instant when the point x = 50 cm has reached its maximum displacement. |
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Answer» A 2 m-long string fixed at both ends is set into vibrations in its first overtone. The wave speed on the string is 200 ms−1 and the amplitude is 0.5 cm. (a) Find the wavelength and the frequency. (b) Write the equation giving the displacement of different points as a function of time. Choose the X-axis along the string with the origin at one end and t = 0 at the instant when the point x = 50 cm has reached its maximum displacement. |
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