QUESTION 17A string with a mass of 5.47 g and a length of 2.84 m has one end attached to a wall; the other end is draped over a pulley a distance d=4.00 m from the wall and attached to a hanging object with a mass 2.29 kg. If the horizontal part of the string is plucked, what is thefundamental frequency of vibration?

Answered: Image /qna-images/answer/9dc59b94-85ca-4d6a-a8c3-67293a50356c.jpg

Answered: QUESTION 17 A string with a mass of…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 66P

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Review. A particle of mass 4.00 kg is attached to a spring with a force constant of 100 N/m. It is oscillating on a frictionless, horizontal surface with an amplitude of 2.00 m. A 6.00-kg object is dropped vertically on top of the 4.00-kg object as it passes through its equilibrium point. The two objects stick together. (a) What is the new amplitude of the vibrating system after the collision? (b) By what factor has the period of the system changed? (c) By how much does the energy of the system change as a result of the collision? (d) Account for the change in energy.
An aluminum rod is clamped one-fourth of the way along its length and set into longitudinal vibration by a variable-frequency driving source. The lowest frequency that produces resonance is 4 400 Hz. The speed of sound in an aluminum rod is 5 100 m/s. Determine the length of the rod.
Four people, each with a mass of 72.4 kg, are in a car with a mass of 1 130 kg. An earthquake strikes. The vertical oscillations of the ground surface make the car bounce up and down on its suspension springs, but the driver manages to pull off the road and stop. When the frequency of the shaking is 1.80 Hz, the car exhibits a maximum amplitude of vibration. The earthquake ends, and the four people leave the car as fast as they can. By what distance docs the cars undamaged suspension lift the cars body as the people get out?
Review. Consider the apparatus shown in Figure P18.87a, where the hanging object has mass M and the string is vibrating in its second harmonic. The vibrating blade at the left maintains a constant frequency. The wind begins to blow to the right, applying a con- slant horizontal force F on the hanging object. What is the magnitude of the force the wind must apply to the hanging object so that the string vibrates in its first harmonic as shown in Figure 18.87b?
A stretched string fixed at each end has a mass of 40.0 g and a length of 8.00 m. The tension in the string is 49.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (b) What is the vibration frequency for this harmonic?
Four people, each with a mass of 72.4 kg, are in a car with a mass of 1 130 kg. An earthquake strikes. The vertical oscillations of the ground surface make the car bounce up and down on its suspension springs, but the driver manages to pull off the road and stop. When the frequency of the shaking is 1.80 Hz, the car exhibits a maximum amplitude of vibration. The earthquake ends and the four people leave the car as fast as they can. By what distance does the cars undamaged suspension lift the cars body as the people get out?
Engineering Application: A suspension bridge oscillates with an effective force constant of 1.00108N/m. (a) How much energy is needed to make it oscillate with an amplitude of 0.100 m? (h) It soldiers march across the bridge with a cadence equal to the bridge’s natural frequency and impart 1.00104J of energy each second, how long does it take for the bridge's oscillations to go from 0.100 m to 0.500 m amplitude?
Review. Consider the apparatus shown in Figure P14.68a, where the hanging object has mass M and the string is vibrating in its second harmonic. The vibrating blade at the left maintains a constant frequency. The wind begins to blow to the right, applying a constant horizontal force on the hanging object. What is the magnitude of the force the wind must apply to the hanging object so that the string vibrates in its first harmonic as shown in Figure 14.68b? Figure P14.68
A taut tope has a mass of 0.180 kg and a length of. 3.60 m. What power must be .supplied to the rope so as generate sinusoidal waxes having an amplitude of 0.100 in and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?

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