Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 14, Problem 12P
(II) A balsa wood block of mass 55g floats on a lake, bobbing up and down at a frequency of 3.0 Hz. (a) What is the value of the effective spring constant of the water? (b) A partially filled water bottle of mass 025 kg and almost the same size and shape of the balsa block is tossed into the water. At what frequency would you expect the bottle to bob up and down? Assume
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Chapter 14 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 14.1 - An object is oscillating back and forth. Which of...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 - Which of the following represents a simple...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 - If a simple pendulum is taken from sea level to...Ch. 14.5 - Return to the Chapter-Opening Question, p. 369,...Ch. 14.5 - (a) Estimate the length of a simple pendulum that...
Ch. 14 - Give some examples of everyday vibrating objects....Ch. 14 - Is the acceleration of a simple harmonic...Ch. 14 - Explain why the motion of a piston in an...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 - A 100-g mass hangs from a long cord forming a...Ch. 14 - Two equal masses are attached to separate...Ch. 14 - Does a car bounce on its springs faster when it is...Ch. 14 - What is the approximate period of your walking...Ch. 14 - What happens to the period of a playground swing...Ch. 14 - A thin uniform rod of mass m is suspended from one...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 - Is a rattle in a car ever a resonance phenomenon?...Ch. 14 - Over the years, buildings have been able to be...Ch. 14 - (I) If a particle undergoes SHM with amplitude...Ch. 14 - (I) An elastic cord is 65 cm long when a weight of...Ch. 14 - (I) The springs of a 1500-kg car compress 5.0 mm...Ch. 14 - (I) (a) What is the equation describing the motion...Ch. 14 - (II) Estimate the stiffness of the spring in a...Ch. 14 - (II) A fishermans scale stretches 3.6 cm when a...Ch. 14 - (II) Tall buildings are designed to sway in the...Ch. 14 - (II) Construct a Table, indicating the position x...Ch. 14 - (II) A small fly of mass 0.25 g is caught in a...Ch. 14 - (II) A mass m at the end of a spring oscillates...Ch. 14 - (II) A uniform meter stick of mass M is pivoted on...Ch. 14 - (II) A balsa wood block of mass 55g floats on a...Ch. 14 - (II) Figure 1429 shows two examples of SHM,...Ch. 14 - (II) Determine the phase constant in Eq. 144 if,...Ch. 14 - (II) A vertical spring with spring stiffness...Ch. 14 - (II) The graph of displacement vs. time for a...Ch. 14 - (II) The position of a SHO as a function of time...Ch. 14 - (II) A tuning fork oscillates at a frequency of...Ch. 14 - (II) An object of unknown mass m is hung from a...Ch. 14 - (II) A 1.25-kg mass stretches a vertical spring...Ch. 14 - (II) Consider two objects, A and B, both...Ch. 14 - (II) A 1.60-kg object oscillates from a vertically...Ch. 14 - (II) A bungee jumper with mass 65.0 kg jumps from...Ch. 14 - (II) A block of mass m is supported by two...Ch. 14 - (III) A mass m is connected to two springs, with...Ch. 14 - (III) A mass m is at rest on the end of a spring...Ch. 14 - (I) A l.15-kg mass oscillates according to the...Ch. 14 - (I) (a) At what displacement of a SHO is the...Ch. 14 - (II) Draw a graph like Fig. 1411 for a horizontal...Ch. 14 - (II) A 0.35-kg mass at the end of a spring...Ch. 14 - (II) It takes a force of 95.0 to compress the...Ch. 14 - (II) A 0.0125-kg bullet strikes a 0.240-kg block...Ch. 14 - (II) If one oscillation has 5.0 times the energy...Ch. 14 - (II) A mass of 240g oscillates on a horizontal...Ch. 14 - (II) A mass resting on a horizontal, frictionless...Ch. 14 - (II) An object with mass 2.7 kg is executing...Ch. 14 - (II) Agent Arlene devised the following method of...Ch. 14 - (II) Obtain the displacement x as a function of...Ch. 14 - (II) t t = 0, a 785-g mass at rest on the end of a...Ch. 14 - (II) A pinball machine uses a spring launcher that...Ch. 14 - (I) A pendulum has a period of 1.35s on Earth....Ch. 14 - (I) A pendulum makes 32 oscillations in exactly 50...Ch. 14 - (II) A simple pendulum is 0.30m long. At t = 0 it...Ch. 14 - (II) What is the period of a simple pendulum 53cm...Ch. 14 - (II) A simple pendulum oscillates with an...Ch. 14 - (II) Your grandfather clocks pendulum has a length...Ch. 14 - (II) Derive a formula for the maximum speed vmax...Ch. 14 - (II) A pendulum consists of a tiny bob of mass M...Ch. 14 - (II) The balance wheel of a watch is a thin ring...Ch. 14 - (II) The human leg can be compared to a physical...Ch. 14 - (II) (a) Determine the equation of motion (for as...Ch. 14 - (II) A student wants to use a meter stick as a...Ch. 14 - (II) A meter stick is hung at its center from a...Ch. 14 - (II) An aluminum disk. 12.5cm in diameter and 375g...Ch. 14 - (II) A plywood disk of radius 20.0cm and mass...Ch. 14 - (II) A 0.835-kg block oscillates on the end of a...Ch. 14 - (II) Estimate how the damping constant changes...Ch. 14 - (II) A physical pendulum consists of an...Ch. 14 - (II) A damped harmonic oscillator loses 6.0% of...Ch. 14 - (II) A vertical spring of spring constant 115 N/m...Ch. 14 - (III) (a) Show that the total mechanical energy,...Ch. 14 - (III) A glider on an air track is connected by...Ch. 14 - (II) (a) For a forced oscillation at resonance ( =...Ch. 14 - Prob. 64PCh. 14 - (II) An 1150 kg automobile has springs with k =...Ch. 14 - (II) Construct an accurate resonance curve, from ...Ch. 14 - (II) The amplitude of a driven harmonic oscillator...Ch. 14 - (III) By direct substitution, show that Eq. 1422,...Ch. 14 - (III) Consider a simple pendulum (point mass bob)...Ch. 14 - A 62-kg person jumps from a window to a fire net...Ch. 14 - An energy-absorbing car bumper has a spring...Ch. 14 - The length of a simple pendulum is 0.63 m, the...Ch. 14 - A simple pendulum oscillates with frequency f....Ch. 14 - A 0.650-kg mass oscillates according to the...Ch. 14 - (a)A crane has hoisted a 1350-kg car at the...Ch. 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 - A 320-kg wooden raft floats on a lake. When a...Ch. 14 - At what displacement from equilibrium is the speed...Ch. 14 - A diving board oscillates with simple harmonic...Ch. 14 - A rectangular block of wood floats in a calm lake....Ch. 14 - A 950-kg car strikes a huge spring at a speed of...Ch. 14 - A 1.60-kg table is supported on four springs. A...Ch. 14 - In some diatomic molecules, the force each atom...Ch. 14 - A mass attached to the end of a spring is...Ch. 14 - Carbon dioxide is a linear molecule. The...Ch. 14 - Imagine that a 10-cm-diameter circular hole was...Ch. 14 - A thin, Straight, uniform rod of length = 1.00 m...Ch. 14 - A mass m is gently placed on the end of a freely...Ch. 14 - A child of mass m sits on top of a rectangular...Ch. 14 - Estimate the effective spring constant of a...Ch. 14 - In Section 145, the oscillation of a simple...Ch. 14 - (II) A mass m on a frictionless surface is...Ch. 14 - (III) Damping proportional to v2. Suppose the...
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- Suppose a diving board with no one on it bounces up and down in a SHM with a frequency of 4.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the SHM of a 75.0-kg diver on the board?arrow_forwardA mass is placed on a frictionless, horizontal table. A spring (k=100N/m) , which can be stretched or compressed, is placed on the table. A 5.00-kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=4.0 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion. (b) Find the position, velocity, and acceleration of the mass at time t=3.00 s.arrow_forwardIf a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?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_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_forwardWhat conditions must be met to produce SHM?arrow_forward
- Show 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 15.51.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_forwardA diver on a diving board is undergoing SHM. Her mass is 55.0 kg and the period of her motion is 0.800 s. The next diver is a male whose period of simple harmonic oscillation is 1.05 s. What is his mass if the mass of the board is negligible?arrow_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_forwardWhich 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.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