Non-harmonic Oscillations

Physics

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Non-Harmonic Oscillator

When introducing oscillations at the beginning typically only discuss the harmonic oscillator. This is natural, but this focus may disguise its special features (e.g., frequency amplitude independence). Using the air track, our students investigate oscillations experimentally and match experimental data with theoretical. An additional theoretical choice, along with the damped harmonic oscillator, is the solution for the non-harmonic force law:
 

When there is no damping (=0) there is a difference of less than 0.06 between the non-harmonic and the harmonic oscillator curves if both have unit amplitude and the same frequency and phase. Still, the accuracy of the data allows discrimination between these models. However, the difference shows up most clearly when damping is present since then the period of the non-harmonic oscillator changes with the amplitude and curves that start in phase become out of phase. A simple approximate solution for this damped non harmonic oscillator has been obtained.

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Introduction to Oscillations

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Period and Frequency in Oscillatory Motion

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Important Questions

Which of the following equation does not represent a simple harmonic motion:

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The displacement of a particle along the x-axis is given by . The motion of the particle corresponds to.

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Assertion : If a man with a wrist watch on his hand falls from the top of a tower, its watch gives correct time during the free fall. 
Reason :The working of the wrist watch depends on spring action and it has nothing to do with gravity.

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Two identical springs of spring constant K are attached to a block of mass m and to fixed supports as shown in Fig. Shown that when the mass is displaced from its equilibrium position on either side, it executes a simple harmonic motion. Find the period of oscillations.

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A particle executing SHM has a maximum speed of and a maximum acceleration of . The period of oscillation is:

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The displacement of a particle is represented by the equation . The motion is 

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A uniform thin ring of radius and mass suspended in a vertical plane from a point in its circumference its time period of oscillation is

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The motion of a pendulum is an example of :

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A particle is executing about along axis. Its position at an instant is given by The amplitude of oscillation is

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Write two differences between centripetal force and centrifugal force.

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