A rope of length L = 6 m is tied on either end to a pair of poles, as shown in the diagram. The tension in the rope is 10 N. a) If a traveling wave in the rope with wavelength = 0.1 m is moving to the right at a speed of Vrope = 2 m/s as shown in the first diagram, then how long does it take a bug sitting on the rope to go through a full oscillation? b) What is the total mass of the rope? c) A girl riding a bike is moving to the left at 1 m/s. As she looks at the traveling wave on the rope, what is the frequency f of the wave from her perspective? d) Later when the travelling wave has damped out, a bird lands on the middle of the rope so that the rope forms a standing wave as shown in the second diagram. How long does it take the bird to undergo a full oscillation as it bobs up and down? You may assume the bird's mass is much smaller than that of the rope. e) If the difference in height between the highest and lowest point of the bird's oscillation is D=1 m, then what is the direction and magnitude of the bird's acceleration when the bird is at its lowest point? As always, you may use the approximation t= 3.

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Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.