Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 15, Problem 15.43P

Review. A simple pendulum is 5.00 m long. What is the period of small oscillations for this pendulum if it is located in an elevator (a) accelerating upward at 5.00 m/s2? (b) Accelerating downward at 5.00 m/s2? (c) What is the period of this pendulum if it is placed in a truck that is accelerating horizontally at 5.00 m/s2?

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Chapter 15 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 15 - An object of mass 0.40 kg, hanging from a spring...Ch. 15 - A runaway railroad car, with mass 3.0 105 kg,...Ch. 15 - The position of an object moving with simple...Ch. 15 - If an object of mass m attached to a light spring...Ch. 15 - You stand on the end of a diving board and bounce...Ch. 15 - A mass-spring system moves with simple harmonic...Ch. 15 - A block with mass m = 0.1 kg oscillates with...Ch. 15 - For a simple harmonic oscillator, answer yes or no...Ch. 15 - The top end of a spring is held fixed. A block is...Ch. 15 - Which of the following statements is not true...Ch. 15 - A simple pendulum has a period of 2.5 s. (i) What...Ch. 15 - A simple pendulum is suspended from the ceiling of...Ch. 15 - A particle on a spring moves in simple harmonic...Ch. 15 - You are looking at a small, leafy tree. You do not...Ch. 15 - Prob. 15.2CQCh. 15 - If the coordinate of a particle varies as x = -A...Ch. 15 - A pendulum bob is made from a sphere filled with...Ch. 15 - Figure CQ15.5 shows graphs of the potential energy...Ch. 15 - A student thinks that any real vibration must be...Ch. 15 - The mechanical energy of an undamped block-spring...Ch. 15 - Is it possible to have damped oscillations when a...Ch. 15 - Will damped oscillations occur for any values of b...Ch. 15 - If a pendulum clock keeps perfect time al the base...Ch. 15 - Prob. 15.11CQCh. 15 - A simple pendulum can be modeled as exhibiting...Ch. 15 - Consider the simplified single-piston engine in...Ch. 15 - A 0.60-kg block attached to a spring with force...Ch. 15 - When a 4.25-kg object is placed on lop of a...Ch. 15 - A vertical spring stretches 3.9 cm when a 10-g...Ch. 15 - In an engine, a piston oscillates with simpler...Ch. 15 - The position of a particle is given by the...Ch. 15 - A piston in a gasoline engine is in simple...Ch. 15 - A 1.00-kg object is attached to a horizontal...Ch. 15 - A simple harmonic oscillator takes 12.0 s to...Ch. 15 - A 7.00-kg object is hung from the bottom end of a...Ch. 15 - At an outdoor market, a bunch of bananas attached...Ch. 15 - A vibration sensor, used in testing a washing...Ch. 15 - (a) A hanging spring stretches by 35.0 cm when an...Ch. 15 - Review. A particle moves along the x axis. It is...Ch. 15 - A ball dropped from a height of 4.00 m makes an...Ch. 15 - A particle moving along the x axis in simple...Ch. 15 - The initial position, velocity, and acceleration...Ch. 15 - A particle moves in simple harmonic motion with a...Ch. 15 - A 1.00-kg glider attached to a spring with a force...Ch. 15 - A 0.500-kg object attached to a spring with a...Ch. 15 - You attach an object to the bottom end of a...Ch. 15 - To test the resiliency of its bumper during...Ch. 15 - A 200-g block is attached to a horizontal spring...Ch. 15 - A block of unknown mass is attached to a spring...Ch. 15 - A block-spring system oscillates with an amplitude...Ch. 15 - A particle executes simple harmonic motion with an...Ch. 15 - The amplitude of a system moving in simple...Ch. 15 - A 50.0-g object connected to a spring with a force...Ch. 15 - A 2.00-kg object is attached to a spring and...Ch. 15 - A simple harmonic oscillator of amplitude A has a...Ch. 15 - Review. A 65.0-kg bungee jumper steps off a bridge...Ch. 15 - Review. A 0.250-kg block resting on a...Ch. 15 - Prob. 15.32PCh. 15 - While driving behind a car traveling at 3.00 m/s,...Ch. 15 - A seconds pendulum is one that moves through its...Ch. 15 - A simple pendulum makes 120 complete oscillations...Ch. 15 - A particle of mass m slides without friction...Ch. 15 - A physical pendulum in the form of a planar object...Ch. 15 - A physical pendulum in the form of a planar object...Ch. 15 - The angular position of a pendulum is represented...Ch. 15 - Consider the physical pendulum of Figure 15.16....Ch. 15 - Prob. 15.41PCh. 15 - A very light rigid rod of length 0.500 m extends...Ch. 15 - Review. A simple pendulum is 5.00 m long. What is...Ch. 15 - A small object is attached to the end of a string...Ch. 15 - A watch balance wheel (Fig. P15.25) has a period...Ch. 15 - A pendulum with a length of 1.00 m is released...Ch. 15 - A 10.6-kg object oscillates at the end of a...Ch. 15 - Show that the time rate of change of mechanical...Ch. 15 - Show that Equation 15.32 is a solution of Equation...Ch. 15 - A baby bounces up and down in her crib. Her mass...Ch. 15 - As you enter a fine restaurant, you realize that...Ch. 15 - A block weighing 40.0 N is suspended from a spring...Ch. 15 - A 2.00-kg object attached to a spring moves...Ch. 15 - Considering an undamped, forced oscillator (b =...Ch. 15 - Damping is negligible for a 0.150-kg object...Ch. 15 - The mass of the deuterium molecule (D2) is twice...Ch. 15 - An object of mass m moves in simple harmonic...Ch. 15 - Review. This problem extends the reasoning of...Ch. 15 - A small ball of mass M is attached to the end of a...Ch. 15 - Review. A rock rests on a concrete sidewalk. An...Ch. 15 - Four people, each with a mass of 72.4 kg, are in a...Ch. 15 - To account for the walking speed of a bipedal or...Ch. 15 - Prob. 15.63APCh. 15 - An object attached to a spring vibrates with...Ch. 15 - Review. A large block P attached to a light spring...Ch. 15 - Review. A large block P attached to a light spring...Ch. 15 - A pendulum of length L and mass M has a spring of...Ch. 15 - A block of mass m is connected to two springs of...Ch. 15 - A horizontal plank of mass 5.00 kg and length 2.00...Ch. 15 - A horizontal plank of mass m and length L is...Ch. 15 - Review. A particle of mass 4.00 kg is attached to...Ch. 15 - A ball of mass m is connected to two rubber bands...Ch. 15 - Review. One end of a light spring with force...Ch. 15 - People who ride motorcycles and bicycles learn to...Ch. 15 - A simple pendulum with a length of 2.23 m and a...Ch. 15 - When a block of mass M, connected to the end of a...Ch. 15 - Review. A light balloon filled with helium of...Ch. 15 - Consider the damped oscillator illustrated in...Ch. 15 - A particle with a mass of 0.500 kg is attached to...Ch. 15 - Your thumb squeaks on a plate you have just...Ch. 15 - Review. A lobstermans buoy is a solid wooden...Ch. 15 - Prob. 15.82APCh. 15 - Two identical steel balls, each of mass 67.4 g,...Ch. 15 - A smaller disk of radius r and mass m is attached...Ch. 15 - An object of mass m1 = 9.00 kg is in equilibrium...Ch. 15 - Review. Why is the following situation impassible?...Ch. 15 - A block of mass M is connected to a spring of mass...Ch. 15 - Review. A system consists of a spring with force...Ch. 15 - A light, cubical container of volume a3 is...
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  • Review. A simple pendulum is 5.00 m long. What is the period of small oscillations for this pendulum if it is located in an elevator (a) accelerating upward at 5.00 m/s2? (b) Accelerating downward at 5.00 m/s2? (c) What is the period of this pendulum if it is placed in a truck that is accelerating horizontally at 5.00 m/s2?
    Which of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.
    A small object is attached to the end of a string to form a simple pendulum. The period of its harmonic motion is measured for small angular displacements and three lengths. For lengths of 1.000 m, 0.750 m, and 0.500 m, total time intervals for 50 oscillations of 99.8 s, 86.6 s, and 71.1s are measured with a stopwatch. (a) Determine the period of motion for each length. (b) Determine the mean value of g obtained from these three independent measurements and compare it with the accepted value. (c) Plot T2 versus L and obtain a value for g from the slope of your best-fit straight-line graph. (d) Compare the value found in part (c) with that obtained in part (b).
  • When a block of mass M, connected to the end of a spring of mass ms = 7.40 g and force constant k, is set into simple harmonic motion, the period of its motion is T=2M+(ms/3)k A two-part experiment is conducted with the use of blocks of various masses suspended vertically from the spring as shown in Figure P15.76. (a) Static extensions of 17.0, 29.3, 35.3, 41.3, 47.1, and 49.3 cm are measured for M values of 20.0, 40.0, 50.0, 60.0, 70.0, and 80.0 g, respectively. Construct a graph of Mg versus x and perform a linear least-squares fit to the data. (b) From the slope of your graph, determine a value for k for this spring. (c) The system is now set into simple harmonic motion, and periods are measured with a stopwatch. With M = 80.0 g, the total time interval required for ten oscillations is measured to be 13.41 s. The experiment is repeated with M values of 70.0, 60.0, 50.0, 40.0, and 20.0 g, with corresponding time intervals for ten oscillations of 12.52, 11.67, 10.67, 9.62, and 7.03 s. Make a table of these masses and times. (d) Compute the experimental value for T from each of these measurements. (e) Plot a graph of T2 versus M and (f) determine a value for k from the slope of the linear least-squares fit through the data points. (g) Compare this value of k with that obtained in part (b). (h) Obtain a value for ms from your graph and compare it with the given value of 7.40 g.
    We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
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    SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY