Question

Define the following with the help of suitable diagrams of the simple pendulum.

l A. Periodic motion

l B. Oscillation

l C. Mean position of a simple pendulum

l D. Amplitude of a simple pendulum

l E. Time period of a simple pendulum

Answer 1

Answer:

Explanation:

A)       Periodic Motion;

Motion repeated in equal intervals of time is called Periodic Motion.

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.

Thus, the period of the Earth’s orbit is one year, and its frequency is one orbit per year.

A tuning fork might have a frequency of 1,000 cycles per second and a period of 1 millisecond (1 thousandth of a second).

Simple harmonic motion is a special case of periodic motion

B)       Ossilation;

Oscillation refers to any Periodic Motion moving at a distance about the equilibrium position and repeat itself over and over for a period of time.

Example

when this bob moves from equilibrium to maximum height then to maximum height in opposite direction and finally returns to equilibrium then it is said to be one oscillation

C)      mean position of simple pendulum;

Mean position is the position of the bob when the freely suspended pendulum is at rest.

Acceleration is zero at the mean position of a simple pendulum because thats where kinetic energy reaches its maximum position while potential energy is at zero.

With kinetic energy reaching its maximum there is no energy left for the pendulum to accelerate.

There is no difference in the potential-kinetic differential to leave energy so as to make the pendulum accelerate at the mean position on a simple pendulum.

D)        AMPLITUDE OF SIMPLE PENDULUM;

The period of swing of a simple gravity pendulum depends on its length, the local strength of gravity, and to a small extent on the maximum angle that the pendulum swings away from vertical, θ0, called the amplitude.

Amplitude of a simple pendulum has to be kept small, so that:

• sin x can be approximated as x .
• The pendulum behaves as a simple pendulum with a harmonic motion.
• The pendulum motion does not have any complex nonlinear motion.

E)  TIME PERIOD OF SIMPLE PENDULUM;

Time period of a simple pendulum is the time taken by Bob of the pendulum to complete one oscillation.

Given by:. T= 2π √(L/g)

Where, T= time period of pendulum.

L=length of pendum( distance between pivot point and center of Bob)

g= acceleration due to gravity

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