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.
![**Title: KE of a Simple Pendulum**
**Time Remaining: Due in 6 hours, 20 minutes**
**Graph Description:**
- The graph shows the kinetic energy (KE) of a simple pendulum plotted against the angle (θ) in milliradians (mrad) from the vertical.
- **Y-axis (Vertical):** Represents Kinetic Energy in millijoules (mJ), ranging from 0 to 70 mJ.
- **X-axis (Horizontal):** Represents the angle θ in milliradians, ranging from -100 to 100 mrad.
- The curve is a symmetric parabola opening downward with its vertex at θ = 0 mrad, where the kinetic energy is at its maximum value of 65 mJ.
**Question:**
In the figure above, the kinetic energy of a simple pendulum is plotted against its angle θ from the vertical. If the mass of the pendulum bob is 1.14 kg, what is the length of the pendulum?
**Input Section:**
- Length of pendulum: [Input Box]
- Submit Answer
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