You have decided to visit a hypnotist to address your predilection toward taking summer classes rather than enjoying life. You don't fall under his spell, but you do hear the ticking of the wall clock and use it to measure the period of the Simple Pendulum formed by the swinging watch. You measure a period of ? = 0.67 seconds. We will take the amplitude of the pendulum to be ?max = 12.47 degrees. Determine all the following: The frequency of the pendulum, f = The angular frequency of the motion, ? = The amplitude of the motion in radians, ?max = The maximum angular velocity, ?max =
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.
You have decided to visit a hypnotist to address your predilection toward taking summer classes rather than enjoying life. You don't fall under his spell, but you do hear the ticking of the wall clock and use it to measure the period of the Simple Pendulum formed by the swinging watch. You measure a period of ? = 0.67 seconds. We will take the amplitude of the pendulum to be ?max = 12.47 degrees.
Determine all the following:
The frequency of the pendulum, f =
The angular frequency of the motion, ? =
The amplitude of the motion in radians, ?max =
The maximum
The angular velocity when ? = 60% of full swing, ?(? = 0.6 ?max) =
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