An oscillating system completed 15 cycles of motion in 15 seconds. A. What is the frequency of the oscillation? What is the period? B. If the system was observed to have a position at 2.5cm after 10 seconds what is the amplitude of oscillation? Assume that initially the system was displaced from the equilibrium then released. C. Given the amplitude of oscillation calculated above, what will be the position function if the system at time t=Osecond was observed at 0.10 cm?
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.
3. An oscillating system completed 15 cycles of motion in 15 seconds.
A. What is the frequency of the oscillation? What is the period?
B. If the system was observed to have a position at 2.5cm after 10 seconds
what is the amplitude of oscillation? Assume that initially the system was
displaced from the equilibrium then released.
C. Given the amplitude of oscillation calculated above, what will be the position
function if the system at time t=0second was observed at 0.10 cm?
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