A penny rides on top of a piston as it undergoes verticalsimple harmonic motion

Question

A penny rides on top of a piston as it undergoes verticalsimple harmonic motion with an amplitude of 4.0 cm. If thefrequency is low, the penny rides up and down without difficulty.If the frequency is steadily increased, there comes a point atwhich the penny leaves the surface.
a) At what point in the cycle does the penny first losecontact with the piston? b)What is the maximum frequency for which the penny neverloses contact with the piston? A penny rides on top of a piston as it undergoes verticalsimple harmonic motion with an amplitude of 4.0 cm. If thefrequency is low, the penny rides up and down without difficulty.If the frequency is steadily increased, there comes a point atwhich the penny leaves the surface.
a) At what point in the cycle does the penny first losecontact with the piston? b)What is the maximum frequency for which the penny neverloses contact with the piston?

Explanation / Answer

=> The point of the cycle is extremeposition. The maximunnm frequency is that by means of which the piston s maximum acceleration will be lessthan or equal to g which is acceleration due togravity.

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