problem 17.46
In a laboratory experiment, one end of a horizontal string is tied to a support while the other end passes over a frictionless pulley and is tied to a 1.9 kg sphere. Students determine the frequencies of standing waves on the horizontal segment of the string, then they raise a beaker of water until the hanging 1.9 kg sphere is completely submerged. The frequency of the fifth harmonic with the sphere submerged exactly matches the frequency of the third harmonic before the sphere was submerged.
What is the diameter of the sphere?
problem 17.46 In a laboratory experiment, one end of a horizontal string is tied to a...
Name: - Harmonics Worksheet Wave on a String One end of a string with a linear mass density of 1.45 . 10-2 kg/m is tied to a mechanical vibrator that can oscillate up and down. The other end hangs over a pulley 80 cm away. The mass hanging from the free end is 3 kg. The left end is oscillated up and down, which will create a standing wave pattern at certain frequencies. Draw the first five standing wave patterns...
A sphere of cork(density pcork = 240 kg/m^3) is tied to one end of a string and pulled halfway under the surface of seawater(density 1,020 kg/m^3) in a beaker. The other end of the string is tied to the bottom of the beaker. The sphere has a radius of 0.1 m what is the tension in the string
A 200 g mass is hanging from a long string draped over a pulley and attached to a fixed frequency generator which can operate in the range 60 – 120 Hz. The mass per unit length of the string is 1.51 g/m. The length of string between the frequency generator and the pulley is 90 cm. a) Which frequencies of the generator will result in standing waves on the string? b) Sketch each standing wave and list the mode (harmonic...
One end of a light spring with force constant 240 N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. As shown in the following figure, the string changes from horizontal to vertical as it passes over a solid pulley of mass M in the shape of a solid disk of radius R 2.50 cm. The pulley is free to turn on a fixed smooth axle. The vertical section of...
A box (mass 25.8 kg) sits on a rough incline that makes an angle α = 28.1o with the horizontal. A massless string is tied to the box, runs parallel to the incline, passes over a massless, frictionless pulley, and is tied to mass M hanging on the other end. Assume μs = 0.455 is the coefficient of static friction between the box and the surface of the plane. Find the maximum value of M, in kg, for which this...
A string of length L = 1.2 m is attached at one end to a wave oscillator, which is vibrating at a frequency f = 80 Hz. The other end of the string is attached to a mass hanging over a pulley as shown in the diagram below. When a particular hanging mass is suspended from the string, a standing wave with two segments is formed. When the weight is reduced by 2.2 kg, a standing wave with five segments...
A 5.00-kg object placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 9.00-kg object, as in Figure P5.24. Draw free-body diagrams of both objects. Find the acceleration of the two objects and the tension in the string. 5.00 kg 9.00 kg
A standing wave pattern is created on a string with mass density u- 3x 10 kg/m. A wave generator with frequency f- 65 Hz is attached to one end of the string and the other end goes over a pulley and is connected to a mass (ignore the weight of the string between the pulley and mass). The distance between the generator and pulley is L- 0.74 m. Initially the 3rd harmonic wave pattern is formed. What is the wavelength...
An air puck of mass 0.23 kg is tied to a string and allowed to revolve in a circle of radius 1.2 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 0.9 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. a) What is the tension in the string? (b) What is the force...
One end of horizontal string of linear density kg/m is attached to a small amplitude 60-Hz vibrator. The string passes over a pulley, a distance 1.40 m away and weights are hung from this end. What mass must be hung from this end of the string to produce (a) one loop, (b) two loops, (c) five loops of a standing wave. Assume that the end of the string with the vibrator is a node, which is nearly true. (d) Why can the...