Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 11, Problem 6Q
For a simple harmonic oscillator, when (if ever) are the displacement and velocity vectors in the same direction? When are the displacement and acceleration vectors in the same direction?
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Chapter 11 Solutions
Physics: Principles with Applications
Ch. 11 - Prob. 1OQCh. 11 - Prob. 2OQCh. 11 - 1. Is the acceleration of a simple harmonic...Ch. 11 - Prob. 2QCh. 11 - How could you double the maximum speed of a simple...Ch. 11 - 4.If a pendulum clock isaccurate at sea level,...Ch. 11 - Prob. 5QCh. 11 - For a simple harmonic oscillator, when (if ever)...Ch. 11 - Two equal masses are attached to separate...Ch. 11 - S. What is the approximate period of your walking...
Ch. 11 - What happens to the period of a playground swing...Ch. 11 - Why can you make water slosh back and forth in a...Ch. 11 - Is the frequency of a simple periodic wave equal...Ch. 11 - Prob. 12QCh. 11 - What kind of waves do you think will travel along...Ch. 11 - Since the density of air decreases with an...Ch. 11 - Prob. 15QCh. 11 - How did geophysicists determine that part of the...Ch. 11 - Prob. 17QCh. 11 - Prob. 18QCh. 11 - Prob. 19QCh. 11 - Prob. 20QCh. 11 - Prob. 21QCh. 11 - Prob. 22QCh. 11 - Why do the strings used for the lowest-frequency...Ch. 11 - Prob. 24QCh. 11 - Prob. 25QCh. 11 - Prob. 26QCh. 11 - Prob. 27QCh. 11 - Prob. 1MCQCh. 11 - 2. An object oscillates back and forth on the end...Ch. 11 - Prob. 3MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - At a playground, two young children are on...Ch. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 12MCQCh. 11 - Prob. 13MCQCh. 11 - A student attaches one end of a Slinky to the top...Ch. 11 - Prob. 15MCQCh. 11 - If a particle undergoes SHM with amplitude 0.21 m,...Ch. 11 - 2. (I) The springs of a 1700-kg car compress 5.0...Ch. 11 - An elastic cord is 61 cm long when a weight of 75...Ch. 11 - 4 (II) Estimate the stiffness of the spring in a...Ch. 11 - A fisherman's scale stretches 3.6 cm when a 2.4-kg...Ch. 11 - Prob. 6PCh. 11 - A mass mat the end of a spring oscillates with a...Ch. 11 - Prob. 8PCh. 11 - Figure 11-51 |O shows two examples of SHM, labeled...Ch. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - A 1.65-kg mass stretches a vertical spring 0.215...Ch. 11 - A 1 15-kg mass oscillates according to the...Ch. 11 - A 0.25-kg mass at the end of a spring oscillates...Ch. 11 - It takes a force of 91.0 N to compress the spring...Ch. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - A mass resting on a horizontal, frictionless...Ch. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - 25 (III) A 1.60-kg object oscillates at the end of...Ch. 11 - 26. (Ill) Consider two objects, A and B, both...Ch. 11 - A pendulum has a period of 1.85 s on Earth. Whatis...Ch. 11 - How long must a simple pendulum be if it is to...Ch. 11 - A pendulum makes 28 oscillations in exactly 50 s....Ch. 11 - Prob. 30PCh. 11 - Your grandfather clock's pendulum has a length of...Ch. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - 34 (III) A clock pendulum oscillates at a...Ch. 11 - A fisherman notices that wave crests pass the bow...Ch. 11 - A sound wave in air has a frequency of 282 Hz and...Ch. 11 - Prob. 37PCh. 11 - AM radio signals have frequencies between 550 kHz...Ch. 11 - Prob. 39PCh. 11 - A cord of mass 0.65 kg is stretched between two...Ch. 11 - A 0.40-kg cord is stretched between two supports,...Ch. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - Prob. 44PCh. 11 - 45 (II) The intensity of an earthquake wave...Ch. 11 - Prob. 46PCh. 11 - Prob. 47PCh. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - Prob. 52PCh. 11 - Prob. 53PCh. 11 - A guitar string is 92 cm long and has a mass of...Ch. 11 - One end of a horizontal string is attached to a...Ch. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - 61. What frequency of sound would have a...Ch. 11 - Prob. 62GPCh. 11 - An energy-absorbing car bumper has a spring...Ch. 11 - Prob. 64GPCh. 11 - A block of mass mis suspended from a ceiling by a...Ch. 11 - 66. A block with mass m =6.0 kg rests on a...Ch. 11 - Prob. 67GPCh. 11 - Prob. 68GPCh. 11 - Prob. 69GPCh. 11 - Prob. 70GPCh. 11 - A 320-kg wooden raft floats on a lake. When a...Ch. 11 - Prob. 72GPCh. 11 - Prob. 73GPCh. 11 - Prob. 74GPCh. 11 - Carbon dioxide is a linear molecule The...Ch. 11 - Prob. 76GPCh. 11 - Prob. 77GPCh. 11 - Prob. 78GPCh. 11 - Prob. 79GPCh. 11 - Prob. 80GPCh. 11 - Prob. 81GPCh. 11 - Prob. 82GPCh. 11 - The ripples in certain groove 10.2 cm from the...Ch. 11 - Prob. 84GPCh. 11 - Prob. 85GPCh. 11 - Prob. 86GPCh. 11 - Prob. 87GP
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- 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_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_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
- Refer 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_forwardGive an example of a simple harmonic oscillator, specifically noting how its frequency is independent of amplitude.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
- 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_forwardMost harmonic oscillators are damped and, if undriven, eventually come to a stop. Why?arrow_forwardIn 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_forward
- An 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_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_forwardPlot a velocity resonance curve for a driven, damped oscillator with Q = 6, and show that the full width of the curve between the points corresponding to is approximately equal to ω0/6.arrow_forward
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