A cam having a lift of 10 mm operates the suction valve of a four str…

Question

A cam having a lift of 10 mm operates the suction valve of a four stroke SI engine. The least radius of the cam is 20 mm and nose radius is 2.5 mm. The crank angle for the engine when suction valve opens is $4^\circ$ after TDC and it is $50^\circ$ after BDC when the suction valve closes. The crank shaft speed is 2000 rpm. The cam is of circular type with circular nose and flanks. It is integral with cam shaft and operates a flat faced-follower. Estimate

(a) the maximum velocity of the valve,

(b) the maximum acceleration and retardation of the valve, and

(c) the minimum force to be exerted by the spring to overcome inertia of the valve parts which weigh 2 N.

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