A string with both ends fixed is vibrating at its 3rd harmonic. The waves have a speed 192 m / s and a frequency of 240 Hz. The amplitude of the standing wave at an antinode is 0.4 cm.  a) Calculate the amplitude of motion of points on the string at a distance of i) 40.0 cm; ii) 20.0 cm; iii) 10.0 cm from the left end of the rope. b) In each of the points in part a), how long it takes the rope to go from its greatest upward displacement to its greatest displacement down? c) Calculate the maximum transverse velocity and acceleration of the rope at each of the points of part a).

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A string with both ends fixed is vibrating at its 3rd harmonic. The waves have a speed 192 m / s and a frequency of 240 Hz. The amplitude of the standing wave at an antinode is 0.4 cm. 

a) Calculate the amplitude of motion of points on the string at a distance of i) 40.0 cm; ii) 20.0 cm; iii) 10.0 cm from the left end of the rope.

b) In each of the points in part a), how long it takes the rope to go from its greatest upward displacement to its greatest displacement down?

c) Calculate the maximum transverse velocity and acceleration of the rope at each of the points of part a).

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