Question

A rope is fixed at both ends and under a tension of 100 N (where N is the symbol for newton, transverse displacement of the rope, in metres, is given by y = (0.5) sin ( x) cos | 4 1 + 100) t where x is distance along the rope in metres, x = 0 at one end of the rope, t is time in seconds, and N 17 (a) What are (i) the length of the rope, (ii the speed of the travelling waves on the rope, and (iii) the total mass of the rope? (b) If the rope were to oscillate in a third-harmonic standing wave pattern, what would be the period of oscillation? Hints: For a standing wave there must be a particular relationship between the length of the rope and the wavelength of the wave. The mass per unit length is related to the speed and the tension.

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Answer #1

7-2イ 24_ = 8m 16x / 18.72 mi V- 16 3 x 18.72 Sec

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