(a) An oscillating object repeats its motion every 3.3 seconds. (i) What is the period of this oscillation? (ii) What is its frequency? (iii) What is its phase rate (i.e. angular frequency)?
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.
![(a) An oscillating object repeats its motion every 3.3 seconds. (i) What is the period of this oscillation?
(ii) What is its frequency? (iii) What is its phase rate (i.e. angular frequency)?
(b) A magnesium atom (mass of 24 proton masses) in a crystal is measured to oscillate with a frequency
of roughly 10l3 Hz. What is the effective spring constant of the forces holding that atom in the crystal?
(c) Sitting on a trampoline, a person with mass m sinks a distance Az below the trampoline's normal
level surface. (i) If the person gently bounces on the trampoline (without leaving its surface), what
would be the person's period of oscillation T?
(You should not need the person's mass, but if you think you do, assume and state a value.)
(ii) Find T for Az = 45 cm.
Check: For Az = 20 cm you should find T = 0.90 s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc99cc4f-9438-44d8-9b43-49724a6b39cf%2Fe951164f-25bf-4ab1-81b7-64174cce01f8%2Fj8wt6p9_processed.png&w=3840&q=75)
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