2. A 97kg athlete sits at the center of a disk-like merry-go-round with his arms extended, holding a 4.0kg dumbbell in each of his hand. The athlete's body can be modeled as a uniform cylinder of radius 20cm with massless arms extending to hands that are 85cm from his center. The merry-go-round has a mass of 153kg and is rotating at 35rpm when the athlete holds the dumbbells with extended arms. Neglect any resistive forces like friction with the axle of the merry-go-round. a. While still holding the dumbbells, the athlete brings his hands in to his chest. Find the new angular velocity of the merry-go-round after the athlete brings the dumbbells in to his chest.
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.
Answer it fast
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
