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Q5. The piston of a reciprocating engine moves with simple harmonic motion and the engine speed is 100 rev/min. When the piston is 1 m from mid stroke its velocity is 65% of its maximum velocity.

Calculate EACH of the following:

(a) the stroke of the engine. (10)

(b) the instantaneous velocity of the piston when it is 600 mm from top dead centre. (3)

(c) the maximum acceleration of the piston. (3)