Ex 14 : A wire of length 100 cm and having mass of 3 gram is subjected to a tension of 29.4 N. Calculate the fundamental frequency of vibration of the string.
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Q: A string with mass 4x10-3 kg and length 2 m is fixed at both ends such that its tension is 160 N.…
A: The given data are: m=4×10-3 kgL=2 mT=160 Nn=4 Here, m denotes the mass, L denotes the length, T…
Q: 7. A violin wire has a mass of 2.02 g and length 72.5 cm. It is stretched with a tension of 23.1 N.…
A: We have given Mass m = 2.02g = 2.02 × 10-3 kg Length L= 72.5 cm = 0.725 m Tension T = 23.1 N…
Q: A uniform 188 N bar is supported horizontally by two identical wires A and B. A Bar Cube B A small…
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Q: A wire is under tension due to hanging mass. The observed wave speed is 24 m/s when the suspended…
A: wave speed is 24 m/s mass is 3kg a) what is the string's linear density ? b) if the length of the…
Q: A wire with a length of 100 cm is tied between two supports. The tension in the wire is 50N. The…
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Q: A wire with mass 50 g is stretched so that its ends are tied down at points 90 cm apart. The wire…
A: GivenMass of wire (M) = 50 g = 50 ×10-3 kg =5×10-2 kgLength of the wire (l) = 90 cm = 90 × 10-2 m =…
Q: A periodic, standing wave exists on a string of length L=3.69m. If a particular wave is measured to…
A: The length of one loop is λ/2. Since there are 9 vibrational loops, write the expression for the…
Q: A string of length L = 2.5 m and mass m = 0.095 kg is fixed between two stationary points, and when…
A: Given:A string of length L = 2.5 m and mass m = 0.095 kg and when the string is plucked, a…
Q: A string with a mass m = 4 g and a length L = 4.76 m has one end attached to a wall; the other end…
A: Given: The mass (m) of the string is 4 g. The length (L) of the string is 4.76 m. The distance (d)…
Q: A string clamped at two ends is vibrating at a fundamental frequency of 442.2 Hz such that the…
A: SOlution: given that n = 442.2 Hz L = 40 cm = 0.4 m d = 0.4 mm, r=0.4/2=0.2 mm calculate the density
Q: A uniform flexible cable of mass 4.00 kg and length 20.0 m hanging vertically on its own weight.…
A: Given Data: Mass m = 4 kg Length L = 20.0 m Frequency f = 10 Hz The tension at mid point is,…
Q: A string of length 0.282 m is producing a standing wave of period 0.017 second with 6 harmonics. The…
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Q: A standing wave on a string with a length of 14.3m has 8 antinodes and is generated by a 120Hz…
A: Write the general expression for a standing wave
Q: string of length 0.274 m is producing a standing wave of period 0.046 second with 4 harmonics. The…
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Q: The steel string of a string instrument is 62 cm long and 0.26 mm thick. a) With how much force must…
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Q: The A string should have a frequency of 440Hz. A known string is plucked which has a frequency of…
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Q: The tension in a wire clamped at both ends is increased to 5.1 times its original magnitude without…
A: The speed of a wave in a string is expressed in the following manner, 1v2=μTv=Tμ ......(1) where, v,…
Q: What is a vibrational frequency of the n=6 harmonic of a string of length 0.71 m strung at the…
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Q: (a) An ethernet cable is 4 m long and has a mass of 0.25 kg. A transverse wave pulse is produced by…
A: Given: Length of the cable, L = 4 m Mass of the cable, M = 0.25 kg Number of trips = 5 Time, t =…
Q: A block of mass 2.5 kg sits on a frictionless 30° incline and is attached with a string to a wall so…
A: Given data: Mass (m) = 2.5 kg Inclined angle (θ) = 30° Linear mass density (μ) = 1.3 g/m = 0.0013…
Q: A string of mass 0.50 kg and a length 3.0 meters is clamped on both ends. If the tension in the…
A: Lowest three natural frequencies f° = 2.04 Hz f1= 4.08 Hz f2= 6.12 Hz
Q: A steel wire in a piano has a length of 0.520 m and a mass of 4.600 x 10 kg. To what tension must…
A: From the fundamental frequency formula , We know that , f = nv/2L ----> f^2 = v^2/4L^2 and We…
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- A string consists of two parts attached at x=0. The right part of the string has mass per unit length 12.8 g/m and the left part has mass per unit length 3.2g/m. The string tension is T. If a wave of amplitude 3.5cm travels along the left part of the string, what is the amplitude of the wave that is transmitted to the right part of the string?A string clamped at two ends is vibrating at a fundamental frequency of 439 Hz such that the distance between adjacent nodes is 43 cm. The tension of the wire is 86 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.A string clamped at two ends is vibrating at a fundamental frequency of 443.5 Hz such that the distance between adjacent nodes is 44 cm. The tension of the wire is 93 N and wire diameter is 0.4 mm. Calculate the density of the material of the wire and give your answer in SI units.
- A stretched string fixed at each end has a mass of 37.0 g and a length of 9.00 m. The tension in the string is 44.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (Enter your answers from smallest to largest distance from one end of the string.)nodes: ?m ? m ? m ? m antinodes: ? m ?m ?m (b) What is the vibration frequency for this harmonic? ?HzHarmonic, sinusiodal wave propagates through a string with speed v and frequency f. At a given instant of time, two points on the string have a phase difference of π/8 rad. Calculate the distance between those two pointA A-string on a particular guitar has a circular cross-section with a diameter of 0.914 mm. The vibrating length of the string is 65.0 cm. (1) If the density of the string is 7,600 kg/m3, find the mass per unit length of the string. (2) For the string to be in tune, it should have a natural frequency of 110.00 Hz. Find the tension in the string that produces this natural frequency. (3) Assuming that the guitar string is in tune, find the frequency and wavelength of the 5th harmonic.