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.
![**Question:**
What is the period of a 1.00-m-long pendulum?
**Explanation:**
To determine the period of a pendulum (the time it takes for one complete cycle of swing), you can use the formula for the period \( T \) of a simple pendulum:
\[ T = 2\pi \sqrt{\frac{L}{g}} \]
Where:
- \( T \) is the period of the pendulum,
- \( L \) is the length of the pendulum (1.00 m in this case),
- \( g \) is the acceleration due to gravity (approximately 9.81 m/s² on the surface of the Earth).
Plugging in the values:
\[ T = 2\pi \sqrt{\frac{1.00 \, \text{m}}{9.81 \, \text{m/s}^2}} \]
This calculation will give the period of the pendulum in seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02ec4b82-5ff0-4052-a25d-a8fd5708f2e2%2F7f934eb3-7440-4a8a-9557-522aeed222a0%2Fgvg0elg_processed.png&w=3840&q=75)
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