College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 11, Problem 2CQ
The analysis of
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Run 1 Amplitude = 3.00 cm
Mass = 0.450 kg
0 =
rad/s
Run 2 Amplitude = 3.00 cm
Mass = 0.650 kg
rad/s
1.
What effect does increasing the mass have on the angular frequency of the oscillation?
2.
Write the equation for angular frequency and explain how changing the spring constant
could affect the angular frequency. Confirm your conclusions by changing the spring
and repeating one of your previous runs using the same mass.
The motion of a mass and spring is described by the following equation:
11y"+4y+6y= 35 cos(yt)
Identify the value of y that would produce resonance in the system. Give an exact value, but you don't
need to simplify radicals.
Y
What is the amplitude of the steady-state solution when the system is at resonance? Round your answer to
two decimal places.
The amplitude is
If there was no external force, the oscillation of the spring could be described in the form A sin(ßt + p).
What is the value of B? Give an exact value, but you don't need to simplify radicals.
В
A spring with spring constant k = 12 slug/s2 has a mass attached that stretches the spring 2-2/3 ft. The damping coefficient is 7 slug/s. The mass is pushed 1 ft above the rest position and then released with a velocity of 1 ft/s downward.
set up the differential equation that describes the motion under the assumption of this section. Solve the differential equation. State whether the motion of
the spring system is harmonic, damped oscillation, critically damped oscillation, or overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form.
Chapter 11 Solutions
College Physics (10th Edition)
Ch. 11 - Think of several examples in everyday life of...Ch. 11 - The analysis of simple harmonic motion in this...Ch. 11 - In any periodic motion, unavoidable friction...Ch. 11 - At what point in the motion of a simple pendulum...Ch. 11 - Which could you use as a timekeeping device in an...Ch. 11 - What happens to the original energy as a damped...Ch. 11 - Distinguish clearly between the angular frequency...Ch. 11 - It is easy to get mixed up and think that the...Ch. 11 - If a metal wire has its length doubled and its...Ch. 11 - Would you expect a rubber band to have a larger or...
Ch. 11 - In designing structures in an earthquake-prone...Ch. 11 - A springmass system is undergoing simple harmonic...Ch. 11 - Suppose you increase the amplitude of oscillation...Ch. 11 - An object of mass M suspended by a spring vibrates...Ch. 11 - When two wires of identical dimensions are used to...Ch. 11 - A mass on a spring oscillates with a period T. If...Ch. 11 - A pendulum oscillates with a period T. If both the...Ch. 11 - When a 100 kg mass is hung from a cable made of a...Ch. 11 - An object with mass M suspended by a spring...Ch. 11 - A pendulum on earth swings with angular frequency...Ch. 11 - A mass oscillates with simple harmonic motion of...Ch. 11 - A thin, light wire 75.0 cm long having a circular...Ch. 11 - A petite young woman distributes her 500 N weight...Ch. 11 - Two circular rods, one steel and the other copper,...Ch. 11 - A 5.0 kg mass is hung by a vertical steel wire...Ch. 11 - Biceps muscle. A relaxed biceps muscle requires a...Ch. 11 - Stress on a mountaineers rope. A nylon rope used...Ch. 11 - A steel wire 2.00 m long with circular cross...Ch. 11 - Achilles tendon. The Achilles tendon, which...Ch. 11 - Human hair. According to one set of measurements,...Ch. 11 - The effect of jogging on the knees. High-impact...Ch. 11 - A small aluminum sphere is placed in a vacuum...Ch. 11 - In the Challenger Deep of the Marianas Trench, the...Ch. 11 - Effect of diving on blood. It is reasonable to...Ch. 11 - Shear forces are applied to a rectangular solid....Ch. 11 - Compression of human bone. The bulk modulus for...Ch. 11 - In Figure 11.30, suppose the object is a square...Ch. 11 - Figure 11.31 Problem 17. 17. A cube of brass has a...Ch. 11 - A steel wire has the following properties: Length...Ch. 11 - A steel cable with cross-sectional area of 3.00...Ch. 11 - Weight lifting. The legs of a weight lifter must...Ch. 11 - (a) Music. When a person sings, his or her vocal...Ch. 11 - Find the period, frequency, and angular frequency...Ch. 11 - If an object on a horizontal frictionless surface...Ch. 11 - The graph shown in Figure 11.32 closely...Ch. 11 - The wings of the blue-throated hummingbird, which...Ch. 11 - A 0.500 kg glider on an air track is attached to...Ch. 11 - A toy is undergoing SHM on the end of a horizontal...Ch. 11 - A 2.00 kg frictionless block is attached to an...Ch. 11 - A 2.00 kg frictionless block is attached to an...Ch. 11 - You are watching an object that is moving in SHM....Ch. 11 - A mass is oscillating with amplitude A at the end...Ch. 11 - (a) If a vibrating system has total energy E0,...Ch. 11 - A 2.40 kg ball is attached to an unknown spring...Ch. 11 - A concrete block is hung from an ideal spring that...Ch. 11 - One end of a stretched ideal spring is attached to...Ch. 11 - A mass of 0.20 kg on the end of a spring...Ch. 11 - A harmonic oscillator is made by using a 0.600 kg...Ch. 11 - Weighing astronauts. In order to study the...Ch. 11 - Prob. 39PCh. 11 - An object of unknown mass is attached to an ideal...Ch. 11 - A science museum has asked you to design a simple...Ch. 11 - A simple pendulum in a science museum entry hall...Ch. 11 - Youve made a simple pendulum with a length of 1.55...Ch. 11 - A pendulum consisting of a 0.5 kg mass tied to a...Ch. 11 - A pendulum on Mars. A certain simple pendulum has...Ch. 11 - In the laboratory, a student studies a pendulum by...Ch. 11 - (a) If a pendulum has period T and you double its...Ch. 11 - A 1.35 kg object is attached to a horizontal...Ch. 11 - A 2.50 kg rock is attached at the end of a thin,...Ch. 11 - A mass is vibrating at the end of a spring of...Ch. 11 - What is the maximum kinetic energy of the...Ch. 11 - A small cylindrical brass bar of length 1 cm and...Ch. 11 - An astronaut uses a simple pendulum to measure the...Ch. 11 - An astronaut notices that a pendulum that took...Ch. 11 - An object suspended from a spring vibrates with...Ch. 11 - A pendulum is formed by taking a 2 kg mass and...Ch. 11 - An apple weighs 1.00 N. When you hang it from the...Ch. 11 - A block with mass M rests on a frictionless...Ch. 11 - In Figure 11.38 the upper ball is released from...Ch. 11 - A 15.0 kg mass fastened to the end of a steel wire...Ch. 11 - You hang a floodlamp from the end of a vertical...Ch. 11 - Tendon-stretching exercises. As part of an...Ch. 11 - A 100 kg mass suspended from a wire whose...Ch. 11 - A brass rod with a length of 1.40 m and a...Ch. 11 - Crude oil with a bulk modulus of 2.35 GPa is...Ch. 11 - Seeing surfaces at the nanoscale. One technique...Ch. 11 - What is the mechanical energy of the vibration...Ch. 11 - By what percentage does the frequency of...
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