A professor sits on a rotating stool that is spinning at 10.010.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.805 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 20.5rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?
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 professor sits on a rotating stool that is spinning at 10.010.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.805 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 20.5rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?
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