Described by: t = 2π√(m/k). By timing the duration of one complete oscillation we can determine the period and hence the frequency. Note that in the case of the pendulum, the period is independent of the mass, whilst the case of the mass on a spring, the period is independent of the length of spring.
How to Find Period of Oscillation?
Finding the period of oscillation is a critical part of understanding the behavior of oscillatory systems. Oscillations are periodic motions that occur when an object is displaced from its equilibrium position, and then experiences a restoring force that returns it to its equilibrium position. Oscillation is often used to describe the motion of a pendulum, a mass on a spring, or an electrical circuit. The period of oscillation is the time it takes for the motion of the object to repeat itself. In this article, we will discuss how to find the period of oscillation of a system.
The first step in finding the period of oscillation is to identify the restoring force. This is the force that acts to return the object to its equilibrium position. For example, a pendulum has gravity as its restoring force, while a mass on a spring has the spring force as its restoring force. Knowing the restoring force is important, as it determines the equation of motion for the system.
The second step is to analyze the equation of motion and solve for the period of oscillation. This is done by finding the natural frequency of the system. The natural frequency is the frequency at which the system would oscillate if it were undamped and unforced. It is found
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