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Q5. An engine has a cam follower with a total travel of 60 mm operating a valve. The follower oscillates with simple harmonic motion taking 1.5 seconds to open and close the valve.

If the moving parts have a total mass of 40 kg, calculate EACH of the following:

(a) the velocity of the follower when the valve is four fifths open. (10)

(b) the acceleration of the follower at the same position. (4)

(c) the maximum inertia force. (2)