College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 16, Problem 12CQ
Most harmonic oscillators are damped and, if undriven, eventually come to a stop. How is this observation related to the second law of
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Chapter 16 Solutions
College Physics
Ch. 16 - Describe a system in which elastic potential...Ch. 16 - What conditions must be met to produce simple...Ch. 16 - (a) If frequency is not constant for some...Ch. 16 - Give an example of a simple harmonic oscillator,...Ch. 16 - Explain why you expect an object made of a stiff...Ch. 16 - As you pass freight truck with a trailer on a...Ch. 16 - Some people modify cars to be much closet to me...Ch. 16 - Pendulum clocks are made to run at the correct...Ch. 16 - Explain in terms of energy how dissipative forces...Ch. 16 - Give an example of a damped harmonic oscillator....
Ch. 16 - How would a car bounce after a bump under each of...Ch. 16 - Most harmonic oscillators are damped and, if...Ch. 16 - Why are soldiers in general ordered to “route...Ch. 16 - Give one example of a transverse wave and another...Ch. 16 - What is the difference between propagation speed...Ch. 16 - Speakers in stereo systems have two colorcoded...Ch. 16 - Two identical waves undergo pure constructive...Ch. 16 - Circular water waves decrease in amplitude as they...Ch. 16 - Fish ate hung on a spring scale to determine their...Ch. 16 - It is weighin time for the local under85kg rugby...Ch. 16 - One type of BB gun uses a spring-driven plunger to...Ch. 16 - (a) The springs of a pickup truck act like a...Ch. 16 - When an 80.0kg man stands on a pogo stick, the...Ch. 16 - A spring has a length of 0.200 m when a 0.300kg...Ch. 16 - What is the period of 60.0 Hz electrical power?Ch. 16 - If your heart rate is 150 beats per minute during...Ch. 16 - Find the frequency of a tuning fork that takes...Ch. 16 - A stroboscope is set to flash every 8.00105s. What...Ch. 16 - A tire has a tread pattern with a crevice every...Ch. 16 - Engineering Application Each piston of an engine...Ch. 16 - A type of cuckoo clock keeps time by having a mass...Ch. 16 - If the spring constant of a simple harmonic...Ch. 16 - A 0.500kg mass suspended from a spring oscillates...Ch. 16 - By how much leeway (both percentage and mass)...Ch. 16 - Suppose you attach the object with mass m to a...Ch. 16 - A diver on a diving board is undergoing simple...Ch. 16 - Suppose a diving beard wi1h no one on it bounces...Ch. 16 - Figure 15.46 This child’s toy relies on springs to...Ch. 16 - A 90.0kg skydiver hanging from a parachute bounces...Ch. 16 - What is the leng1h of a pendulum that has a period...Ch. 16 - Some people think a pendulum with a period of 1.00...Ch. 16 - What is the period of a 1.00mlong pendulum?Ch. 16 - How long does it take a child on a swing to...Ch. 16 - The pendulum on a cuckoo clock is 5.00 cm long....Ch. 16 - Two parakeets sit on a swing with their combined...Ch. 16 - (a) A pendulum that has a period of 3.00000 s and...Ch. 16 - A pendulum with a period of 2.00000 s in one...Ch. 16 - (a) What is the effect on the period of a pendulum...Ch. 16 - Find the ratio of the new/old periods of a...Ch. 16 - At what rate will a pendulum clock run on me Moon,...Ch. 16 - Suppose the length of a clock’s pendulum is...Ch. 16 - If a pendulumdriven clock gains 5.00 s/day, what...Ch. 16 - The length of nylon rope from which a mountain...Ch. 16 - Engineering Application Near the top of the...Ch. 16 - (a) What is me maximum 1nreluzmcity at an 85.0kg...Ch. 16 - A novelty clock has a 0.0100kg mass object...Ch. 16 - At what positions is the speed of a simple...Ch. 16 - A ladybug sits 12.0 cm from the center of a...Ch. 16 - The amplitude of a lightly damped oscillator...Ch. 16 - How much energy must the shock absorbers of a...Ch. 16 - If a car has a suspension system with a force...Ch. 16 - (a) How much will a spring that has a force...Ch. 16 - Suppose you have a 0.750kg object on a horizontal...Ch. 16 - Engineering Application: A suspension bridge...Ch. 16 - Stems in the South Pacific can create waves that...Ch. 16 - Waves on a swimming pool propagate at 0.750m/s....Ch. 16 - Wind gusts create ripples on the ocean that have a...Ch. 16 - How many times a minute does a boat bob up and...Ch. 16 - Scouts at a camp shake the rope bridge may have...Ch. 16 - What is the wavelength of the waves you create in...Ch. 16 - What is the wavelength of an earthquake that...Ch. 16 - Radio waves transmitted through space at...Ch. 16 - Your ear is capable of differentiating sounds that...Ch. 16 - (a) Seismographs measure the arrival times of...Ch. 16 - A car has two horns, one emitting a frequency of...Ch. 16 - The middleChammer of a piano hits two strings,...Ch. 16 - Two tuning forks having frequencies of 460 and 464...Ch. 16 - Twin jet engines on an airplane are producing an...Ch. 16 - A wave traveling on a Slinky® mat is stretched to...Ch. 16 - Three adjacent keys on a piano (F, F—sharp, and G)...Ch. 16 - Medical Application Ultrasound of intensity...Ch. 16 - The low-frequency speaker of a stereo set hag a...Ch. 16 - To increase intensity of a wave by a factor of 50,...Ch. 16 - Engineering Application A device called an...Ch. 16 - Astronomy Application Energy from the Sun arrives...Ch. 16 - Suppose you have a device that extracts energy...Ch. 16 - Engineering Application (a) A photovoltaic array...Ch. 16 - A microphone receiving a pure sound tone feeds an...Ch. 16 - Medical Application (a) What is the intensity in...
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- Consider a damped harmonic oscillator. After four cycles the amplitude of the oscillator has dropped to 1/e of its initial value. Find the ratio of the frequency of the damped oscillator to its natural frequency.arrow_forwardObtain the response of a linear oscillator to a step function and to an impulse function (in the limit τ → 0) for overdamping. Sketch the response functions.arrow_forwardShow that, if a driven oscillator is only lightly damped and driven near resonance, the Q of the system is approximately Q2(TotalenergyEnergylossduringoneperiod)arrow_forward
- If 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_forwardShow 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_forwardCheck Your Understanding Identify one way you could decrease the maximum velocity of a simple harmonic oscillator.arrow_forward
- Consider an undamped linear oscillator with a natural frequency ω0 = 0.5 rad/s and the step function a = 1 m/s2. Calculate and sketch the response function for an impulse forcing function acting for a time τ = 2π/ω0. Give a physical interpretation of the results.arrow_forwardA simple pendulum as shown in Fig. 4.24 oscillates back and forth. Use the letter designations in the figure to identify the pendulums position(s) for the following conditions. (There may be more than one answer. Consider the pendulum to be ideal with no energy losses.) (a) Position(s) of instantaneous rest ___ (b) Position(s) of maximum velocity ___ (c) Position(s) of maximum Ek ___ (d) Position(s) of maximum Ep ___ (e) Position(s) of minimum Ek ___ (f) Position(s) of minimum Ep ___ (g) Position(s) after which Ek increases ___ (h) Position(s) after which Ep increases ___ (i) Position(s) after which Ek decreases ___ (j) Position(s) after which Ep decreases ___ Figure 4.24 The Simple Pendulum and Energyarrow_forwardAssume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .arrow_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_forwardGive an example of a damped harmonic oscillator. (They are more common than undamped or simple harmonic oscillators.)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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