A rope under tension of 200 Newtons and fixed at both ends, oscillates in a second harmonic standing wave pattern. The displacement of the rope is given by y = (0.10m)(sin Tx / 2)(sin12t) Where x=0 at one end of the rope, x is in meters, and t is in seconds. What are: (a) the length of the rope, (b) the speed of the waves on the rope, (c) the mass of the rope? (d) if the rope oscillates in a third Harmonic standing wave pattern, what will be the period of oscillation?
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
![A rope under tension of 200 Newtons and fixed at both ends,
oscillates in a second harmonic standing wave pattern. The
displacement of the rope is given by
y = (0.10m)(sin Tx/2)(sin12t)
Where x=0 at one end of the rope, x is in meters, and t is in seconds.
What are:
(a) the length of the rope,
(b) the speed of the waves on the rope,
(c) the mass of the rope?
(d) if the rope oscillates in a third Harmonic standing wave pattern,
what will be the period of oscillation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F287fac2b-ddf7-4e52-a08c-5389061fb328%2F5d1bcbcd-aded-4bfd-9ec9-b4d62e3a4510%2Fkqlxgsh_processed.jpeg&w=3840&q=75)
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