College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 1CQ
Think of several examples in everyday life of motion that is at least approximately simple harmonic. In what respects does each differ from
Expert Solution & Answer
To determine
The example of approximate simple harmonic motion from everyday life.
Answer to Problem 1CQ
The motion of a swing in a park is simple harmonic for small amplitudes.
Explanation of Solution
Simple harmonic motion is a type of motion in which the restoring force depends on the displacement. It is periodic in nature. Motion of a swing in a park is an example of simple harmonic motion.
For smaller amplitudes, it can be approximated as simple harmonic motion. When the swing oscillates, its mechanical energy is given away due to dissipative forces.
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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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- Most harmonic oscillators are damped and, if undriven, eventually come to a stop. Why?arrow_forwardCan this analogy of SHM to circular motion be carried out with an object oscillating on a spring vertically hung from the ceiling? Why or why not? If given the choice, would you prefer to use a sine function or a cosine function to model the motion?arrow_forwardSuppose a diving board with no one on it bounces up and down in a SHM with a frequency of 4.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the SHM of a 75.0-kg diver on the board?arrow_forward
- A diver on a diving board is undergoing SHM. Her mass is 55.0 kg and the period of her motion is 0.800 s. The next diver is a male whose period of simple harmonic oscillation is 1.05 s. What is his mass if the mass of the board is negligible?arrow_forwardIf a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?arrow_forwardWhat conditions must be met to produce SHM?arrow_forward
- Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 12.28.arrow_forwardThe amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?arrow_forwardIf the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 − (8π2n2)−1] times the frequency of the corresponding undamped oscillator.arrow_forward
- Check Your Understanding Identify an object that undergoes uniform circular motion. Describe how you could trace the SHM of this object.arrow_forwardFor a damped, driven oscillator, show that the average kinetic energy is the same at a frequency of a given number of octaves* above the kinetic energy resonance as at a frequency of the same number of octaves below resonance.arrow_forwardThe mechanical energy of an undamped block-spring system is constant as kinetic energy transforms to elastic potential energy and vice versa. For comparison, explain what happens to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies.arrow_forward
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SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY