+1 vote
in Machine Dynamics by (34.3k points)
In a slider crank mechanism, the length of the crank and connecting rod are 150 mm and 600 mm respectively. The crank position is 60° from inner dead centre. The crank shaft speed is 400 r.p.m. (clockwise). Velocity of the slider is ________

(a) 6.9 m/s

(b) 6.12 m/s

(c) 7.32 m/s

(d) 6.66 m/s

I got this question in an online quiz.

My doubt stems from Angular Velocity and Acceleration of the Connecting Rod topic in chapter Inertia Forces in Reciprocating Parts of Machine Dynamics

1 Answer

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by (38.6k points)
Correct choice is (b) 6.12 m/s

The best I can explain: We know that ratio of the length of connecting rod and crank, n = l / r = 0.6 / 0.15 = 4, substituting the values into the formula of velocity  V=w.r( sinθ + sin2 θ / 2n) gives V = 6.12 m/s.

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