Galileo was the first person to study the motion of a pendulum, around the year 1600. He found that the time it takes a pendulum to complete a full swing depends only on the length of the pendulum. Galileo found that the period of a pendulur is proportional to the square root of its length T = 2vL where T is the time in seconds it takes for the pendulum to complete 1 period and L is the length of the pendulum measured in meters. Definition of a Period: The time it takes a pendulum to complete one full back-and forth swing Below is a video of a pendulum on the UCF campus. If you watch the video, you'll notice that it takes approximately 8.5 seconds to complete a full period. Using this information, determine the length of the pendulum in meters.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Galileo was the first person to study the motion of a pendulum, around the year
1600. He found that the time it takes a pendulum to complete a full swing depends only on the length of the pendulum. Galileo found that the period of a pendulur is
proportional to the square root of its length T = 2vL where T is the time in seconds it
takes for the pendulum to complete 1 period and L is the length of the pendulum measured in meters.
Definition of a Period: The time it takes a pendulum to complete one full back-and forth swing
Below is a video of a pendulum on the UCF campus. If you watch the video, you'll notice that it takes approximately 8.5 seconds to complete a full period. Using this information, determine the length of the pendulum in meters.
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