The diagram best illustrates which of the following? a-Closed-Closed First Harmonic (fundamental) b-Closed-Closed Second Harmonic   c-Closed-Closed Third Harmonic   d-Open-Open First Harmonic (fundamental)   e-Open-Open Second Harmonic

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1. Given the equation and graph shown below, what is the amplitude (A), period (T), angular frecuency (w), and phase qifference ($)? Harmonic motion, y(t) = 25 * sin(n/3 *t + T/4) 30 10 -10 -20 -30 0. 2n 3n 4m 5m Time, s 20 Displacement, cm

A. On the linearized graph of period vs. chord length, what are the units of the slope? B. On the linearized graph of chord length vs. period, what are the units of the slope?

The elastic limit of the gold forming a piece of wire is equal to 2.0 x 108 Pa. What is the maximum speed at which transverse wave pulses can propagate along this wire without exceeding this stress? (The density of gold is 1.93 x 104 kg/m³) m/s Submit Answer ASK YOUR TEACH F12 delete retu

2. When a tennis racket strikes a tennis ball, the racket begins to vibrate. There is a set of selected frequencies at which the racket will tend to vibrate. Each frequency in the set is characterized by a particular standing wave pattern. The diagrams below show the three of the more common standing wave patterns for the vibrations of a tennis racket. In each diagram, hash marks are placed at the positions of all nodes and antinodes; label these nodes (N) and antinodes (AN). 11111111 Pattern A Pattern B λA Pattern C Compare the wavelength of pattern A to the wavelength of pattern B. Make your comparison both qualitative and quantitative. Repeat for pattern C. λA λB (,=) _^℃ (,=) ^A = AB (2, 3, 4, etc.) ^A = AC (2, 3, 4, etc.) When the racket vibrates as in pattern A, its frequency of vibration is approximately 30 Hz. Determine the frequency of vibration of the racket when it vibrates as in pattern B and pattern C. Hz fB =_ fc = Hz

What do you expect from sound heard when you match the resonance frequency of the drinking glass? Would you expect a change in the amplitude, frequency, or wavelength? What is the resonance frequency measured? Use the ruler to measure the length of the drinking glass.

2. Consider a system of coupled oscillators with masses defined in the figure below. Describe the motion of this system by solving for the normal modes and normal frequencies of this system. Assume M1=M4=M, M3-M4-2M, K1=k5=2k, k2=k4=k, and k3 = 3k. k₁ M₁ k₂ M₂ X₂ k3 M3 X3 K₁ M₁ X4 k5

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