Consider an horizontally oscillating body of mass m moving back-and-forth around a fixed point O'. Suppose this simple harmonic motion is provided by the elastic restoring force −kx. If k = 0.4 N/m, m = 25 g, and the motion initiated by displacing the body 0.1 m to the right of O' imparting to velocity of 0.4 m/s to the right. Compute: ,→ the period T of the motion, ,→ the angular frequency ω of the motion, ,→ and the total energy E of the system
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.
Consider an horizontally oscillating body of mass m moving back-and-forth around a fixed point O'.
Suppose this
m = 25 g, and the motion initiated by displacing the body 0.1 m to the right of O' imparting to velocity
of 0.4 m/s to the right. Compute:
,→ the period T of the motion,
,→ the angular frequency ω of the motion,
,→ and the total energy E of the system
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