The figure shows an overhead view of a ring that can rotate about its center like a merry-go-round. Its outer radius R₂ is 0.7 m, its inn radius R₁ is R₂/2, its mass M is 8.8 kg, and the mass of the crossbars at its center is negligible. It initially rotates at an angular speed of 9.5 rad/s with a cat of mass m = M/4 on its outer edge, at radius R₂. By how much does the cat increase the kinetic energy of the cat- ring system if the cat crawls to the inner edge, at radius R₁? Number i Units R₂
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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