Jun Matsumoto holds a string wherein a steel ball is attached to a string and is swung in a circular path in a horizontal plane as illustrated in Figure 1. At point P, the string suddenly breaks near the ball. If these events are observed from directly above, which of the 1-5 paths below would the ball most closely follow after the string breaks. Explain your answer.

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1. Jun Matsumoto holds a string wherein a steel ball is attached to a string and is swung in a
circular path in a horizontal plane as illustrated in Figure 1. At point P, the string suddenly
breaks near the ball. If these events are observed from directly above, which of the 1-5
paths below would the ball most closely follow after the string breaks. Explain your
answer.
Figure 1. Jun Matsumoto holds a string wherein a steel ball is attached to a string and is swung in a circular
path in a horizontal plane
2. An unfingered guitar string is 0.63 m long and is tuned to play B (247 Hz) below middle
C.
a. How far from the end of this string must your finger b placed (creating a node) to play
E (330 Hz) above middle C? (In other words, what is the length of the portion of the
string that you are allowing to vibrate at 330 Hz?)
b. What is the wavelength on the string of this string 330 Hz wave?
c. What are the frequeney and wavelength of the sound wave produced in room-
temperature air (Vsound = 343 m/s) by this fingered guitar string?
3. One end of a horizontal string is attached to a small-amplitude mechanical 75.0 Hz
ocillator. The string's mass per unit length is 5.3 x 10* kg/m. the string passes over a
pulley, a distance L = 1.75 m away, and weights are hung from this end. Assume the string
at the oscillator is a node, which is nearly true, and that the string at the pulley is also a
node.
Transcribed Image Text:1. Jun Matsumoto holds a string wherein a steel ball is attached to a string and is swung in a circular path in a horizontal plane as illustrated in Figure 1. At point P, the string suddenly breaks near the ball. If these events are observed from directly above, which of the 1-5 paths below would the ball most closely follow after the string breaks. Explain your answer. Figure 1. Jun Matsumoto holds a string wherein a steel ball is attached to a string and is swung in a circular path in a horizontal plane 2. An unfingered guitar string is 0.63 m long and is tuned to play B (247 Hz) below middle C. a. How far from the end of this string must your finger b placed (creating a node) to play E (330 Hz) above middle C? (In other words, what is the length of the portion of the string that you are allowing to vibrate at 330 Hz?) b. What is the wavelength on the string of this string 330 Hz wave? c. What are the frequeney and wavelength of the sound wave produced in room- temperature air (Vsound = 343 m/s) by this fingered guitar string? 3. One end of a horizontal string is attached to a small-amplitude mechanical 75.0 Hz ocillator. The string's mass per unit length is 5.3 x 10* kg/m. the string passes over a pulley, a distance L = 1.75 m away, and weights are hung from this end. Assume the string at the oscillator is a node, which is nearly true, and that the string at the pulley is also a node.
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