A string with a mass m = 6.00 g and a length L = 5.00 m has one end attached to a wall; the other end is draped over a small, fixed pulley a distance d = 3.00 m from the wall and attached to a hanging object with a mass M = 2.00 kg as in the figure below. If the horizontal part of the string is plucked, what is the fundamental frequency of its vibration? Hz
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- A thin rod of mass M = 10.0 kg and length L = 60.0 cm is connected to a wall by a hinge. A rope of mass m = 40.0 g and length l = 1.00 m is attached to the end of the rod as shown in the image. Assume that when the rope is disturbed, the rod remains relatively stationary without significant "jiggle". a) If the rope is plucked to produce the lowest-frequency standing wave, what is the resonant frequency of this wave (first harmonic)? b) Let A = 10.0 cm represent the amplitude of the standing wave, defined as themaximum displacement from equilibrium of the point on the rope with the largest oscillations. The displacement y of this point as a function of time canbe expressed as y = A sin wt, where w is the angular frequency. What is themaximum velocity of this point during its oscillations? c) Assume you manage to get the second harmonic on the same string, which points) on the rope have an amplitude of 10.0 cm? Draw a picture or write as distance from the hinge.Justify answer.a. A wooden flute, open at both ends, is 0.5 m long. Determine its fundamental vibration frequency assuming the speed of sound in air is 340 m/s b. How far from one end should a finger hole be placed to produce a sound whose frequency is 44 times that calculated in the first part.Tension is maintained in a string by attaching one end to a wall and by hanging a 3.10-kg object from the other end of the string after it passes over a pulley that is 2.00 m from the wall. The string has a mass per unit length of 3.55 mg/m. What is the fundamental frequency of this string? Hz
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