Most injuries to the shoulder will require rehab and physical therapy. Pendulum exercises are a great way to increase strength and improve flexibility and range of motion in an injured shoulder. Here, the patient bends forward until their back is horizontal. The injured arm is hung vertically downward and is allowed to swing freely back and forth like a pendulum (see the figure). Treat the arm (length of 69 cm) in the figure as a physical pendulum - a uniform rod rotating about an axis through one of its ends - and calculate the period of the arm's small oscillations.
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.
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