You have two strings of length 0.5 m. Both strings are fixed at both ends and have tension 10 N. The first string has a mass of 0.5 kg and the second has a mass of 2.5 kg. You also have two tubes. The first is open at both ends and the second is open at one end and closed at the other end. The tubes have the same length as the strings: 0.5 m. For each string and tube, calculate the wavelength and frequency of the fundamental resonance and the next resonance (which has a shorter wavelength). Draw the wavelengths for each labeling what physical property you are drawing. Assume the tubes are in 20°C air. Which systems can resonate with a frequency that is twice their fundamental frequency? three times their fundamental frequency?
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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You have two strings of length 0.5 m. Both strings are fixed at both ends and have tension 10 N. The first string has a mass of 0.5 kg and the second has a mass of 2.5 kg. You also have two tubes. The first is open at both ends and the second is open at one end and closed at the other end. The tubes have the same length as the strings: 0.5 m. For each string and tube, calculate the wavelength and frequency of the fundamental resonance and the next resonance (which has a shorter wavelength). Draw the wavelengths for each labeling what physical property you are drawing. Assume the tubes are in 20°C air. Which systems can resonate with a frequency that is twice their fundamental frequency? three times their fundamental frequency?
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