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Q5. A piston reciprocates with simple harmonic motion when driven by an engine with a constant speed of 120 rpm. When the piston is 0.75m from mid-stroke position it has an instantaneous velocity equivalent to 0.6 maximum velocity

Calculate EACH of the following:

(a) the stroke of the engine. (8)

(b) the velocity of the piston when it is 0.7 m from top dead Centre. (4)

(c) the maximum acceleration of the piston. (4)