The graphs below may represent either a picture of the shape of a wave on a string at a particular instant in time, t1, or the transverse (up and down) velocity of the mass points of that string at that time. Depending on what they are, the wave on the string may be: a right going traveling wave a left going traveling wave a part of a standing wave growing in amplitude at time t1 a part of a standing wave shrinking in amplitude at time t1 For each of the following cases, decide what the wave is doing and choose one of the four number (1)-(4) or none (N). Graph A is a graph of the string's shape and graph B is a graph of the string's velocity. ---Select--- 1 2 3 4 N Graph A is a graph of both the string's shape and the string's velocity. ---Select--- 1 2 3 4 N Graph B is a graph of the string's shape and graph A is a graph of the string's velocity. ---Select--- 1 2 3 4 N

Question 3 - (a) The plot below represents a snapshot of a wave in space taken a time t = 0s. Draw the history graph for this wave at x = 6m for t = 0s to t = 6s. y (cm) 1 -1 -1 1 m/s T 1 2 3 4 5 6 x (m) (b) The plot below represents the history graph of a wave at x = 0m. If the wave was moving with a speed of 1 m/s to the right. Draw a snapshot graph of this wave a t = 1s. y (cm) -1 2 В 4 5 6 t(s) -1-

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 you

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. 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…