The piston in the cylinder of a car engine moves in the cylinder with simple harmonic motion. The piston moves between a position of maximum height in the cylinder to a position of minimum height, as illustrated in the figure.
The distance moved by the piston between the positions shown in the figure above is 
. The mass of the piston is 
. At one particular speed of the engine, the piston completes 2700 oscillations in 
.
For the oscillations of the piston in the cylinder, determine:
the amplitude
the frequency
the maximum speed
the speed when the top of the piston is 
below its maximum height.
The acceleration of the piston varies. Determine the resultant force on the piston that gives rise to its maximum acceleration.
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