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Theory of Machines Miscellaneous

  1. Figure shows a quick return mechanism. The cranks OA rotates clockwise uniformly. OA = 2 cm, OO' = 4 cm. The ratio of time for forward motion to that for return motion is
    1. 0.5
    2. 2.0
    3. 2
    4. 1
Correct Option: B

Ratio of time of forward motion to return motion

=
180 + 2α
=
180 + 60
=
240
= 2
180 − 2α180 − 60120

(Given OD = 2 cm, OO ' = 4 cm, sin α = 2/4 = 0.5 ⇒ α = 30°)



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