Homework Answers
2.
The mass density of a string is the ratio of mass of the string to its length. Its unit is : kg/m
i.e.
Mass per unit length =
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Question2 1 pt How will we calculate the mass density (mass per unit length) of the...
A rope has a length of 5.00 m between its two fixed points and a mass per unit length (linear density) of 40.0 g / m. yes, the string vibrates at a frequency of 20 Hz. a) Calculate the tension of the...
A rope has a length of 5.00 m between its two fixed points and a mass per unit length (linear density) of 40.0 g / m. yes, the string vibrates at a frequency of 20 Hz. a) Calculate the tension of the rope. b) Calculate the wavelength. Remember that w = 2πf where w is the angular velocity.
A rope has a length of 5.00 m between its two fixed points and a mass per unit length (linear density) of 40.0 g / m. if the string vibrates at a fundamental frequency of 20 Hz. a) Calculate the tension of the string. b) Calculate the frequency and wavele
A rope has a length of 5.00 m between its two fixed points and a mass per unit length (linear density) of 40.0 g / m. if the string vibrates at a fundamental frequency of 20 Hz. a) Calculate the tension of the string. b) Calculate the frequency and wavelength of the second harmonic (n = 2). c) Calculate the frequency and wavelength of the third harmonic. d) the speed of propagation of the wave.
Standing Waves: Calculate the mass density of the following string: m=35.0 g L=75cm Mass per unit...
Standing Waves: Calculate the mass density of the following string: m=35.0 g L=75cm Mass per unit length= ?? kg/m Knowing the velocity of a wave in the string, we can calculate the frequencies and wavelengths of the harmonics in the string using: wavelength_n=2L/n f_n=f_1 f_1=v/2L (n=1,2,3...) Draw the standing wave and calculate the wavelength and frequency for the following harmonics, assuming a string with a length of 2.0 m. Harmonic number Wavelength Frequency Draw the standing wave n=1 Wavelength_1=? f_1=?...
A string of length L, mass per unit length mu, and tension T is vibrating at...
A string of length L, mass per unit length mu, and tension T is vibrating at its fundamental frequency. What effect will the following have on the fundamental frequency? The length of the string is doubled, with all other factors held constant. The mass per unit length is doubled, with all other factors held constant. The tension is doubled, with all other factors held constant.
25. The main cables supporting New York's George Washington Bridge have a mass per unit length...
25. The main cables supporting New York's George Washington Bridge have a mass per unit length of 4100 kg/m and are under 250-MN tension. At what speed would a transverse wave propa- gate on these cables? 29. A rope with 280 g of mass per meter is under 550-N tension. Find the average power carried by a wave with frequency 3.7 Hz and amplitude 60 cm propagating on the rope. 8. A 2.5-m-long string is clamped at both ends. (a)...
1: Consider a string with 36.2 g mass and 39.6 cm length. Determine the linear density...
1: Consider a string with 36.2 g mass and 39.6 cm length. Determine the linear density of the string (in kg/m unit). 2: Consider a string with 26.6 g mass and 90 cm length. If the tension in the string is 1.2 N, then determine the speed of the generated standing waves.
A string of length 0.25 m has a mass per unit length of 0.040 kg/m. The...
A string of length 0.25 m has a mass per unit length of 0.040 kg/m. The frequency third harmonic of the string is 270 Hz. What is the tension in the string? No Figure available.
Consider a uniform string of length 1, tension T, and mass per unit length p that...
Consider a uniform string of length 1, tension T, and mass per unit length p that is stretched between two immovable walls. Show that the total energy of the string, which is the sum of its kinetic and potential energies, is E = EST-C3) + ) dx. where y(x, t) is the string's (relatively small) transverse displacement.
A string of length L, mass per unit length u, and tension Tis vibrating at it's...
A string of length L, mass per unit length u, and tension Tis vibrating at it's fundamental frequency. What effect will the following have on the fundamental frequency? (a) The length of the string is doubled, with all other factors held constant. Of will be reduced by a factor of 2. 1 Of will be increased by a factor of 2. f will be reduced by a factor of 4. Of will be increased by a factor of 4. (b)...
Please do all three! Problem 11 A string that has a mass of 5.0 g and...
Please do all three!
Problem 11 A string that has a mass of 5.0 g and a length of 2.2 m is pulled taut with a tension of 74 N. 1) Calculate the speed of transverse waves on the string. (Express your answer to two significant figures.) Submit Problem 12 A long rope is shaken up and down by a rodeo contestant. The transverse waves travel 12.8 m in a time of 2.1 s. The tension in the rope is...
A string of length L, mass per unit length mu, and tension T is vibrating at its fundamental frequency. What effect will the following have on the fundamental frequency? The length of the string is doubled, with all other factors held constant. The mass per unit length is doubled, with all other factors held constant. The tension is doubled, with all other factors held constant.
25. The main cables supporting New York's George Washington Bridge have a mass per unit length of 4100 kg/m and are under 250-MN tension. At what speed would a transverse wave propa- gate on these cables? 29. A rope with 280 g of mass per meter is under 550-N tension. Find the average power carried by a wave with frequency 3.7 Hz and amplitude 60 cm propagating on the rope. 8. A 2.5-m-long string is clamped at both ends. (a)...
Consider a uniform string of length 1, tension T, and mass per unit length p that is stretched between two immovable walls. Show that the total energy of the string, which is the sum of its kinetic and potential energies, is E = EST-C3) + ) dx. where y(x, t) is the string's (relatively small) transverse displacement.
A string of length L, mass per unit length u, and tension Tis vibrating at it's fundamental frequency. What effect will the following have on the fundamental frequency? (a) The length of the string is doubled, with all other factors held constant. Of will be reduced by a factor of 2. 1 Of will be increased by a factor of 2. f will be reduced by a factor of 4. Of will be increased by a factor of 4. (b)...
Please do all three!
Problem 11 A string that has a mass of 5.0 g and a length of 2.2 m is pulled taut with a tension of 74 N. 1) Calculate the speed of transverse waves on the string. (Express your answer to two significant figures.) Submit Problem 12 A long rope is shaken up and down by a rodeo contestant. The transverse waves travel 12.8 m in a time of 2.1 s. The tension in the rope is...
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