Period and Frequency in Oscillatory Motion

Physics

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Define frequency of Periodic Motion

Frequency is the number of cycles completed per second. It is the reciprocal of period.
Note: The unit representing cycles per second is hertz.

definition

Define Periodic Motion

Periodic motion, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave.
In each case the interval of time for a repetition, or cycle, of the motion is called a period, while the number of periods per unit time is called the frequency.

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Relation between frequency and time period

Relation between frequency and time period:

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Introduction to Oscillations

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Periodic and Oscillatory Motions

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Non-harmonic Oscillations

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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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