A small coin is placed on a flat, horizontal turntable . The turntable rotates at a constant rate of 45 rpm: It is observed to make 3 rotations in 4.0s. When viewed from above, the turntable rotates counterclockwise. (a) A coin rides without slipping at a distance of 5.0 cm from the center of the turntable. What is the speed of the coin? (b) What is the acceleration (magnitude and direction) of the coin in part (a)? (c) Draw a free-body diagram of the coin. Label all of the forces in your diagram.
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 small coin is placed on a flat, horizontal turntable . The turntable rotates at a constant rate of 45 rpm: It is observed to make 3 rotations in 4.0s. When viewed from above, the turntable rotates counterclockwise.
(a) A coin rides without slipping at a distance of 5.0 cm from the center of the turntable. What is the speed of the coin?
(b) What is the acceleration (magnitude and direction) of the coin in part (a)?
(c) Draw a free-body diagram of the coin. Label all of the forces in your diagram.
(d) The coin has a mass of 2.5 g. What is the frictional force acting on the coin in part (a)?
(e) Over the course of several experiments, you observe that the coin will slide off if it is more than 10 cm from the
center of the turntable, but it will ride along without slipping if it is closer than this. What is the coefficient of static
friction between the coin and the turntable?
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