Consider the simplified single-piston engine in the figure. Assuming the wheel has a radius A = 20.0 cm and rotates with constant angular speed a counterclockwise. (a) Explain why the piston rod oscillates in simple harmonic motion. (b) For which values of the angle 8 the piston is at rightmost position and at leftmost position? (c) What is the distance between the leftmost and rightmost positions? Piston a(1)
Consider the simplified single-piston engine in the figure. Assuming the wheel has a radius A = 20.0 cm and rotates with constant angular speed a counterclockwise. (a) Explain why the piston rod oscillates in simple harmonic motion. (b) For which values of the angle 8 the piston is at rightmost position and at leftmost position? (c) What is the distance between the leftmost and rightmost positions? Piston a(1)
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Transcribed Image Text:Problem 2:
Consider the simplified single-piston engine in the figure.
Assuming the wheel has a radius A = 20.0 cm and
rotates with constant angular speed a counterclockwise.
(a) Explain why the piston rod oscillates in simple
harmonic motion.
(b) For which values of the angle the piston is at
rightmost position and at leftmost position?
(c) What is the distance between the leftmost and rightmost positions?
Piston
x-0
We choose x = 0 at the middle between the rightmost and the leftmost positions.
(d) For which values of the angle the piston is at x = 0?
(e) If at t = 0, 0 = 0. What is the phase constant of the piston motion?
(f) The maximum speed of the piston shouldn't exceed 2.00 m/s. Calculate the maximum
angular speed wmax of the wheel.
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