A 9.0-m-long string is wrapped around a pulley that is free to rotate a pulley that is free to rotate about a fixed axle. The pulley has a radius of 6.0 cm and initially is at rest. The thickness of the string is negligible. Someone pulls on the free end of the string, thereby unwinding it and giving the pulley an acceleration of +17.0 rad/s². (a) Through what angle has the pulley rotated when the string is completely unwound? (b) What is the final angular velocity of the pulley?
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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