4th Edition

ISBN: 9780134988559

Author: Wolfson, Richard

Publisher: Pearson Education,

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…

Simple Pendulum

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 13, Problem 80P

Show that x(t) = a cos ωt − bsin ωt represents simple harmonic motion, as in Equation 13.8. with A = a 2 + b 2 and ϕ = tan⁻¹(b/a).

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 13, Problem 79P

Chapter 13, Problem 81P

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Chapter 13 Solutions

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Show that x ( t ) = a cos ωt − b sin ωt represents simple harmonic motion , as in Equation 13.8. with A = a 2 + b 2 and ϕ = tan −1 ( b / a ).

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