A piston (with mass M = 2.0 kg) in a car engine is in vertical simple harmonic motion with amplitude A = 5.0 cm. If the engine is running at 405.265452313 rad/s,
(a) What is the maximum velocity (m/s) of the piston?
(b) What is the maximum acceleration (m/s^2) of the piston?
Suppose a small 100 g piece of metal were to break loose from the surface of the piston when it (the piston) is at the lowest point (z = 5.0 cm and v = 0).
(c) At what position (m) does the piece of metal lose contact with the piston?
(d) What is the velocity (m/s) of the metal piece when it loses contact with the piston?