Oscillatory Motion

We can say, in a simple and clear way, that an oscillatory movement occurs when the body performs back and forth movements in the same position. Some examples of oscillatory movements:

– When we pull a ruler back and release it;
– When we play a guitar string;
– The movements of the pendulum of a clock.

Aware of the basic concepts of period (T) and frequency (f), we have some formulas to calculate the elements of oscillatory movements:

 or , therefore

Thus, the smaller the period of oscillation (T), the greater the frequency of the movement (t). When this frequency has a high value, the body is said to be oscillating rapidly.

The oscillatory motion of a small body, suspended by a thin and light string, which is removed from its position and then released, we call a free pendulum. In this case, there is a special application.
Where “L” is the length of the pendulum and “g” is the acceleration due to gravity at the location, we have the following equation:

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