Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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Chapter 14, Problem 54P
(II) A meter stick is hung at its center from a thin wire (Fig. 14–35a). It is twisted and oscillates with a period of 5.0s. The meter slick is sawed off to a length of 70.0 cm. This piece is again balanced at its center and set in oscillation (Fig. 14–35b). With what period does it oscillate?
FIGURE 14–35
Problem 53.
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(III) A block of mass m is supported by two identical
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FIGURE 11-53
Problem 24.
(III) A mass m is connected to two springs, with spring
constants k1 and k2, in two different ways as shown in
Fig. 14-32a and b. Show that the period for the configura-
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Problem 25.
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18) When a 0.350-kg package is attached to a vertical spring and lowered slowly, the spring stretches
12.0 cm. The package is now di splaced from its equilibrium position and undergoes simple harmonic
ocillations when released. What is the period of the oscillations?
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Chapter 14 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 14.1 - A mass is oscillating on a frictionless surface at...Ch. 14.1 - If an oscillating mass has a frequency of 1.25 Hz,...Ch. 14.2 - By how much should the mass on the end of a spring...Ch. 14.2 - The position of a SHO is given by x = (0.80 m)...Ch. 14.3 - Suppose the spring in Fig. 1410 is compressed to x...Ch. 14.5 - Return to the Chapter-Opening Question, p. 369,...Ch. 14.5 - If a simple pendulum is taken from sea level to...Ch. 14 - Give some examples of everyday vibrating objects....Ch. 14 - Is the acceleration of a simple harmonic...Ch. 14 - Real springs have mass. Will the true period and...
Ch. 14 - How could you double the maximum speed of a simple...Ch. 14 - A 5.0-kg trout is attached to the hook of a...Ch. 14 - If a pendulum clock is accurate at sea level, will...Ch. 14 - A tire swing hanging from a branch reaches nearly...Ch. 14 - For a simple harmonic oscillator, when (if ever)...Ch. 14 - Prob. 9QCh. 14 - Does a car bounce on its springs faster when it is...Ch. 14 - Prob. 11QCh. 14 - A thin uniform rod of mass m is suspended from one...Ch. 14 - What is the approximate period of your walking...Ch. 14 - A tuning fork of natural frequency 264 Hz sits on...Ch. 14 - Why can you make water slosh back and forth in a...Ch. 14 - Give several everyday examples of resonance.Ch. 14 - Prob. 17QCh. 14 - Over the years, buildings have been able to be...Ch. 14 - Prob. 1MCQCh. 14 - Prob. 2MCQCh. 14 - Prob. 3MCQCh. 14 - Prob. 4MCQCh. 14 - Prob. 5MCQCh. 14 - Prob. 6MCQCh. 14 - Prob. 7MCQCh. 14 - Prob. 8MCQCh. 14 - Prob. 9MCQCh. 14 - Prob. 10MCQCh. 14 - Prob. 11MCQCh. 14 - Prob. 1PCh. 14 - Prob. 2PCh. 14 - Prob. 3PCh. 14 - Prob. 4PCh. 14 - Prob. 5PCh. 14 - Prob. 6PCh. 14 - Prob. 7PCh. 14 - (II) Construct a Table, indicating the position x...Ch. 14 - Prob. 9PCh. 14 - Prob. 10PCh. 14 - Prob. 11PCh. 14 - (II) An object of unknown mass m is hung from a...Ch. 14 - (II) Figure 1429 shows two examples of SHM,...Ch. 14 - Prob. 14PCh. 14 - Prob. 15PCh. 14 - Prob. 16PCh. 14 - Prob. 17PCh. 14 - Prob. 18PCh. 14 - Prob. 19PCh. 14 - Prob. 20PCh. 14 - Prob. 21PCh. 14 - Prob. 22PCh. 14 - Prob. 23PCh. 14 - (III) A mass m is at rest on the end of a spring...Ch. 14 - (III) A mass m is connected to two springs, with...Ch. 14 - Prob. 26PCh. 14 - Prob. 27PCh. 14 - Prob. 28PCh. 14 - Prob. 29PCh. 14 - Prob. 30PCh. 14 - Prob. 31PCh. 14 - Prob. 32PCh. 14 - Prob. 33PCh. 14 - Prob. 34PCh. 14 - Prob. 35PCh. 14 - Prob. 36PCh. 14 - Prob. 37PCh. 14 - Prob. 38PCh. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - Prob. 41PCh. 14 - Prob. 42PCh. 14 - Prob. 43PCh. 14 - Prob. 44PCh. 14 - Prob. 45PCh. 14 - Prob. 46PCh. 14 - Prob. 47PCh. 14 - (II) Derive a formula for the maximum speed vmax...Ch. 14 - Prob. 49PCh. 14 - Prob. 50PCh. 14 - Prob. 51PCh. 14 - (II) (a) Determine the equation of motion (for as...Ch. 14 - (II) A meter stick is hung at its center from a...Ch. 14 - Prob. 55PCh. 14 - (II) A student wants to use a meter stick as a...Ch. 14 - (II) A plywood disk of radius 20.0cm and mass...Ch. 14 - (II) Estimate how the damping constant changes...Ch. 14 - Prob. 63PCh. 14 - Prob. 65PCh. 14 - Prob. 67PCh. 14 - (II) (a) For a forced oscillation at resonance ( =...Ch. 14 - Prob. 69PCh. 14 - (III) By direct substitution, show that Eq. 1422,...Ch. 14 - Prob. 75GPCh. 14 - Prob. 77GPCh. 14 - A 0.650-kg mass oscillates according to the...Ch. 14 - Prob. 83GPCh. 14 - An oxygen atom at a particular site within a DNA...Ch. 14 - A seconds pendulum has a period of exactly 2.000...Ch. 14 - Prob. 87GPCh. 14 - Prob. 89GPCh. 14 - Carbon dioxide is a linear molecule. The...Ch. 14 - A mass attached to the end of a spring is...Ch. 14 - Imagine that a 10-cm-diameter circular hole was...Ch. 14 - In Section 145, the oscillation of a simple...
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- Check Your Understanding Identify one way you could decrease the maximum velocity of a simple harmonic oscillator.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_forwardMost harmonic oscillators are damped and, if undriven, eventually come to a stop. Why?arrow_forward
- Give an example of a simple harmonic oscillator, specifically noting how its frequency is independent of amplitude.arrow_forwardFind the frequency of a tuning fork that takes 2.50103 s to complete one oscillation.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_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_forwardCheck Your Understanding Why are completely undamped harmonic oscillators so rare?arrow_forwardIf the speed of the observer is increased by 5.0%, what is the period of the pendulum when measured by this observer?arrow_forward
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