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Q6. A vertical reciprocating engine runs at 90 rpm with a stroke of 2.4 m and a cylinder bore of 950 mm. The mass of the piston is 800 kg. The diameter of the piston rod is 340 mm. The pressure in the cylinder is 110 bar just after TDC and the piston reciprocates with simple harmonic motion.  Calculate EACH of the following:

(a) The piston velocity 0.8 m from TDC; (4)

(b) The maximum piston acceleration; (2)

(c) The magnitude and nature of the stress in the piston rod after TDC. (10)