12th Edition

ISBN: 9781119798590

Author: Halliday

Publisher: WILEY

Concept explainers

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards…

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A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion tak…

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Textbook Question

Chapter 15, Problem 80P

A block is in SHM on the end of a spring, with position given by x = x_m cos(ωt + ϕ ). If ϕ = π /5 rad, then at t = 0 what percentage of the total mechanical energy is potential energy?

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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Chapter 15, Problem 79P

Chapter 15, Problem 81P

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A capacitor with a capacitance of C = 5.95×10−5 F is charged by connecting it to a 12.5 −V battery. The capacitor is then disconnected from the battery and connected across an inductor with an inductance of L = 1.55 H . At the time 2.35×10−2 s after the connection to the inductor is made, what is the current in the inductor? At that time, how much electrical energy is stored in the inductor?

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Chapter 15 Solutions

FUNDAMENTALS OF PHYSICS

Ch. 15 - Which of the following relationships between the...Ch. 15 - An object undergoing simple harmonic motion takes...Ch. 15 - A 0.12 kg body undergoes simple harmonic motion of...Ch. 15 - What is the maximum acceleration of a platform...Ch. 15 - An automobile can be considered to be mounted on...Ch. 15 - SSM In an electric shaver, the blade moves back...Ch. 15 - A particle with a mass of 1.00 1020 kg is...Ch. 15 - SSM A loudspeaker produces a musical sound by...Ch. 15 - The position function x = 6.0 m cos3 rad/st /3...Ch. 15 - An oscillating blockspring system takes 0.75 s to...

Ch. 15 - SSM An oscillator consists of a block of mass...Ch. 15 - A simple harmonic oscillator consists of a block...Ch. 15 - SSM Two particles oscillate in simple harmonic...Ch. 15 - Two particles execute simple harmonic motion of...Ch. 15 - ILW An oscillator consists of a block attached to...Ch. 15 - GO At a certain harbor, the tides cause the ocean...Ch. 15 - A block rides on a piston a squat cylindrical...Ch. 15 - SSM WWW A block is on a horizontal surface a shake...Ch. 15 - SSM When the displacement in SHM is one-half the...Ch. 15 - SSM Find the mechanical energy of a blockspring...Ch. 15 - An oscillating blockspring system has a mechanical...Ch. 15 - ILW A 5.00 kg object on a horizontal frictionless...Ch. 15 - A 10 g particle undergoes SHM with an amplitude of...Ch. 15 - If the phase angle for a blockspring system in SHM...Ch. 15 - GO A massless spring hangs from the ceiling with a...Ch. 15 - A 95 kg solid sphere with a 15 cm radius is...Ch. 15 - SSM WWW The balance wheel of an old-fashioned...Ch. 15 - ILW A physical pendulum consists of a meter stick...Ch. 15 - Suppose that a simple pendulum consists of a small...Ch. 15 - A performer seated on a trapeze is swinging back...Ch. 15 - Prob. 50P Ch. 15 - GO A pendulum is formed by pivoting a long thin...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - The suspension system of a 2000 kg automobile sags...Ch. 15 - Hanging from a horizontal beam are nine simple...Ch. 15 - A. 1000 kg car carrying four 82 kg people travels...Ch. 15 - Although California is known for earthquakes, is...Ch. 15 - A loudspeaker diaphragm is oscillating in simple...Ch. 15 - A 2.00 kg block hangs from a spring. A 300 g body...Ch. 15 - SSM In the engine of a locomotive, a cylindrical...Ch. 15 - A 50.0 g stone is attached to the bottom of a...Ch. 15 - A uniform circular disk: whose radius R is 12.6 cm...Ch. 15 - SSM A vertical spring stretches 9.6 cm when a 1.3...Ch. 15 - A massless spring with spring constant 19 N/m...Ch. 15 - A 4.00 kg block is suspended from a spring with k...Ch. 15 - A 55.0 g block oscillates in SHM on the end of a...Ch. 15 - A block is in SHM on the end of a spring, with...Ch. 15 - A simple pendulum of length 20 cm and mass 5.0 g...Ch. 15 - The scale of a spring balance that reads from 0 to...Ch. 15 - A 0.10 kg block oscillates back and forth along a...Ch. 15 - The end point of a spring oscillates with a period...Ch. 15 - The tip of one prong of a tuning fork undergoes...Ch. 15 - Prob. 87P Ch. 15 - A block weighing 20 N oscillates at one end of a...Ch. 15 - A 3.0 kg particle is in simple harmonic motion in...Ch. 15 - A particle executes linear SHM with frequency 0.25...Ch. 15 - SSM What is the frequency of a simple pendulum 2.0...Ch. 15 - A 4.00 kg block hangs from a spring, extending it...Ch. 15 - An engineer has an odd-shaped 10 kg object and...Ch. 15 - A spider can tell when its web has captured, say,...Ch. 15 - When a 20 N can is hung from the bottom of a...Ch. 15 - For a simple pendulum, find the angular amplitude...Ch. 15 - SSM A 1.2 kg block sliding on a horizontal...Ch. 15 - A simple harmonic oscillator consists of an 0.80...Ch. 15 - A block sliding on a horizontal frictionless...Ch. 15 - A damped harmonic oscillator consists of a block m...Ch. 15 - Prob. 105P Ch. 15 - Prob. 106P Ch. 15 - Prob. 107P Ch. 15 - Prob. 108P Ch. 15 - Prob. 109P Ch. 15 - Prob. 110P Ch. 15 - Prob. 111P

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A block is in SHM on the end of a spring, with position given by x = x m cos( ωt + ϕ ). If ϕ = π /5 rad, then at t = 0 what percentage of the total mechanical energy is potential energy?

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