A В T=2 N f= 500 Hz T= 5 N f= 300 Hz D T=6N f= 300 Hz T=2 N f= 400 Hz
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A string is stretched so that it is under tension and is tied at both ends so that the endpoints don't move. A mechanical oscillator then vibrates the string so that a standing wave is created. The dark line in each diagram represents a snapshot of a string at an instant in time when the amplitude of the standing wave is a maximum. The lighter lines represent the string at other times during a complete cycle. All of the strings are identical except for their lengths, and all strings have the same tension. The number of nodes and antinodes in each standing wave is different. the lengths of the strings (L) and the amplitudes at the antinodes (A) are given in each figure.
Rank the speed of the wave in the strings.
Enter in the form A > B = C .
Hint: v=(T/μ)0.5.
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- A rubber ducky (located at x = 0 m) floats on a lake and bobs up and down due to one dimensional water waves. Shown to the right are a y(t) graph that depicts the vertical displacement of rubber ducky as a function of time and a y(x) graph that depicts the water wave as a function of position at the time t = 0 s. a. Explain how both graphs tells you whether this wave is moving to the right or to the left. Which parameter does this information help you find in the equation of motion in part b)? 3 2 AAAAA 1 3 -2 y (in cm) -2 y (in cm) at x=0 b. Write out the equation of motion y(x,t) = Asin[2ë specify the values for A, T, 2, 0, ±, and D. (27=-=-=27= + 9 ) +1 at t=0 t (in s) Am x (in m) o+D for this wave. Make sure youA string is stretched so that it is under tension and is tied at both ends so that the endpoints don't move. A mechanical oscillator then vibrates the string so that a standing wave is created. The dark line in each diagram represents a snapshot of a string at an instant in time when the amplitude of the standing wave is a maximum. The lighter lines represent the string at other times during a complete cycle. All of the strings are identical except for their lengths, and all strings have the same tension. The number of nodes and antinodes in each standing wave is different. The lengths of the strings (L) and the amplitudes at the antinodes (A) are given in each figure. A B A = 12 cm L= 25 cm A= 12 cm L= 28 cm C A = 24 cm L= 20 cm A = 36 cm L= 30 cm Rank the wavelengths of the waves. OR All All the same Cannot determine Greatest Least zero Explain your reasoning. A string is stretched so that it is under tension and is tied at both ends so that the endpoints don't move. A mechanical…All of the strings below exhibit standing waves. All of the strings are identical except for their lengths, the images are not drawn to scale, and all of the string tensions are identical. The string lengths and the standing wave amplitudes are given in each figure. Which of the following represents the correct ranking of frequencies, from GREATEST to LEAST. A B A= 5cm L=35 cm A=9 cm L=42 cm C D A= 7 cm L=24 cm A= 6cm L=28 cm В, А, С, D В, С, D, A D, C, A, B B, A=D, C A=B, D, C
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