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Theory of Machines Miscellaneous

  1. A slider-crank mechanism with crank radius 60 mm and connecting rod length 240 mm is shown in figure. The crank is rotating with a uniform angular speed of 10 rad/s, counter clockwise. For the given configuration, the speed (in m/s) of the slider is _______.
    1. 0.6 m/s
    2. 0.3 m/s
    3. 0.1 m/s
    4. 0.1 m/s
Correct Option: A


L = 240 mm
r = 60 mm

n =
L
= 4
r

ω = 10 rad/s
cosθ =
sinθ
n

θ = tan−1(4) = 75.96°
∴  VS = ωrsinθ +
sin2θ
2n

∴  VS = 10 × 0.06sin75.96° +
sin151.92°
2 × 4

= 0.6 × 1.0288
= 0.6 m/s



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