The length of a simple pendulum is 0.70 m and the mass of the particle ( the "bob") at the end of the cable is 0.33 kg. The pendulum is pulled away from ts equilibrium position by an angle of 7.2 degrees and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy of the pendulum as it swings abck and forth. (c) what is the bob's speed as it passes through the lowest point of the swing?
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.
The length of a simple pendulum is 0.70 m and the mass of the particle ( the "bob") at the end of the cable is 0.33 kg. The pendulum is pulled away from ts equilibrium position by an angle of 7.2 degrees and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is
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