University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 15, Problem 3CQ
Give an example of a simple harmonic oscillator, specifically noting how its frequency is independent of amplitude.
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Check out a sample textbook solutionChapter 15 Solutions
University Physics Volume 1
Ch. 15 - Check Your Understanding Why would it hurt more if...Ch. 15 - Check Your Understanding Identify one way you...Ch. 15 - Check Your Understanding Identify an object that...Ch. 15 - Check Your Understanding An engineer builds two...Ch. 15 - Check Your Understanding Why are completely...Ch. 15 - Check Your Understanding A famous magic trick...Ch. 15 - What conditions must be met to produce SHM?Ch. 15 - (a) If frequency is not constant for some...Ch. 15 - Give an example of a simple harmonic oscillator,...Ch. 15 - Explain why you expect an object made of a stiff...
Ch. 15 - As you pass a freight truck with a trailer on a...Ch. 15 - Some people modify cars to be much closer to the...Ch. 15 - Describe a system in which elastic potential...Ch. 15 - Explain in terms of energy how dissipative forces...Ch. 15 - The temperature of the atmosphere oscillates from...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - A pendulum clock works by measuring the period of...Ch. 15 - With the use of a phase shift, the position of an...Ch. 15 - Give an example of a damped harmonic oscillator....Ch. 15 - How would a car bounce after a bump under each of...Ch. 15 - Most harmonic oscillators are damped and, if...Ch. 15 - Why are soldiers in general ordered to “route...Ch. 15 - Do you think there is any harmonic motion in the...Ch. 15 - Some engineers use sound to diagnose performance...Ch. 15 - Prove that using x(t)=Asin(t+) will produce the...Ch. 15 - What is the period of 60.0 Hz of electrical power?Ch. 15 - If your heart rate is 150 beats per minute during...Ch. 15 - Find the frequency of a tuning fork that takes...Ch. 15 - A stroboscope is set to flash every 8.00105 s....Ch. 15 - A tire has a tread pattern with a crevice every...Ch. 15 - Each piston of an engine makes a sharp sound every...Ch. 15 - A type of cuckoo clock keeps time by having a mass...Ch. 15 - A mass m0is attached to a spring and hung...Ch. 15 - A 0.500-kg mass suspended from a spring oscillates...Ch. 15 - By how much leeway (both percentage and mass)...Ch. 15 - Fish are hung on a spring scale to determine their...Ch. 15 - It is weigh-in time for the local under-85-kg...Ch. 15 - One type of BB gun uses a spring-driven plunger to...Ch. 15 - When an 80.0-kg man stands on a pogo stick, the...Ch. 15 - A spring has a length of 0.200 m when a 0.300-kg...Ch. 15 - The length of nylon rope from which a mountain...Ch. 15 - The motion of a mass on a spring hung vertically,...Ch. 15 - (a) A novelty clock has a 0.0100-kg-mass object...Ch. 15 - Reciprocating motion uses the rotation of a motor...Ch. 15 - A student stands on the edge of a merry-go-round...Ch. 15 - What is the length of a pendulum that has a period...Ch. 15 - Some people think a pendulum with a period of 1.00...Ch. 15 - What is the period of a 1.00-m-long pendulum?Ch. 15 - How long does it take a child on a swing to...Ch. 15 - The pendulum on a cuckoo clock is 5.00-cm long....Ch. 15 - Two parakeets sit on a swing with their combined...Ch. 15 - (a) A pendulum that has a period of 3.00000 s and...Ch. 15 - A pendulum with a period of 2.00000 s in one...Ch. 15 - (a) What is the effect on the period of a pendulum...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - How much energy must the shock absorbers of a...Ch. 15 - If a car has a suspension system with a force...Ch. 15 - (a) How much will a spring that has a force...Ch. 15 - Suppose you have a 0.750-kg object on a horizontal...Ch. 15 - Suppose you attach an object with mass m to a...Ch. 15 - A diver on a diving board is undergoing SHM. Her...Ch. 15 - Suppose a diving board with no one on it bounces...Ch. 15 - The device pictured in the following figure...Ch. 15 - A mass is placed on a frictionless, horizontal...Ch. 15 - Find the ratio of the new/old periods of a...Ch. 15 - At what rate will a pendulum clock run on the...Ch. 15 - If a pendulum-driven clock gains 5.00 s/day, what...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - Assume that a pendulum used to drive a grandfather...Ch. 15 - A 2.00-kg block lies at rest on a frictionless...Ch. 15 - A suspension bridge oscillates with an effective...Ch. 15 - Near the top of the Citigroup Center building in...Ch. 15 - Parcels of air (small volumes of air) in a stable...Ch. 15 - Consider the van der Waals potential U(r)=U0[( R 0...Ch. 15 - Suppose the length of a clock’s pendulum is...Ch. 15 - (a) The springs of a pickup truck act like a...
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- The 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_forwardAn automobile with a mass of 1000 kg, including passengers, settles 1.0 cm closer to the road for every additional 100 kg of passengers. It is driven with a constant horizontal component of speed 20 km/h over a washboard road with sinusoidal bumps. The amplitude and wavelength of the sine curve are 5.0 cm and 20 cm, respectively. The distance between the front and back wheels is 2.4 m. Find the amplitude of oscillation of the automobile, assuming it moves vertically as an undamped driven harmonic oscillator. Neglect the mass of the wheels and springs and assume that the wheels are always in contact with the road.arrow_forwardThe total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73arrow_forward
- A simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.arrow_forwardConsider a graphical representation (Fig. 12.3) of simple harmonic motion as described mathematically in Equation 12.6. When the particle is at point on the graph, what can you say about its position and velocity? (a) The position and velocity are both positive. (b) The position and velocity are both negative. (c) The position is positive, and the velocity is zero. (d) The position is negative, and the velocity is zero. (e) The position is positive, and the velocity is negative. (f) The position is negative, and the velocity is positive. Figure 12.3 (Quick Quiz 12.2) An xt graph for a particle undergoing simple harmonic motion. At a particular time, the particles position is indicated by in the graph.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_forward
- In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.arrow_forwardDetermine the angular frequency of oscillation of a thin, uniform, vertical rod of mass m and length L pivoted at the point O and connected to two springs (Fig. P16.78). The combined spring constant of the springs is k(k = k1 + k2), and the masses of the springs are negligible. Use the small-angle approximation (sin ). FIGURE P16.78arrow_forwardConsider the simplified single-piston engine in Figure CQ12.13. Assuming the wheel rotates with constant angular speed, explain why the piston rod oscillates in simple harmonic motion. Figure CQ12.13arrow_forward
- For 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_forwardConsider the damped oscillator illustrated in Figure 12.16a. The mass of the object is 375 g, the spring constant is 100 N/m, and b = 0.100 N s/m. (a) Over what time interval does the amplitude drop to half its initial value? (b) What If? Over what time interval does the mechanical energy drop to half its initial value? (c) Show that, in general, the fractional rate at which the amplitude decreases in a damped harmonic oscillator is one-half the fractional rate at which the mechanical energy decreases.arrow_forwardRefer to the problem of the two coupled oscillators discussed in Section 12.2. Show that the total energy of the system is constant. (Calculate the kinetic energy of each of the particles and the potential energy stored in each of the three springs, and sum the results.) Notice that the kinetic and potential energy terms that have 12 as a coefficient depend on C1 and 2 but not on C2 or 2. Why is such a result to be expected?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