Theory of Machines Miscellaneous


Theory of Machines Miscellaneous

Direction: A quick return mechanism is shown below. The crank OS is driven at 2 rev/s in counter clockwise direction.

  1. The angular speed of PQ in rev/s when the block R attains maximum speed during forward stroke (stroke with slower speed) is (in rad/s)









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    Maximum speed during forward stroke occur when QR & QS are perpendicular.
    V = 250 × 2 = 750 × ωPQ

    ωPQ =
    2
    rad/sec
    3

    Correct Option: B

    Maximum speed during forward stroke occur when QR & QS are perpendicular.
    V = 250 × 2 = 750 × ωPQ

    ωPQ =
    2
    rad/sec
    3


  1. If the quick return ratio is 1: 2, then the length of the crank in mm is









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    250

    Correct Option: A

    250



  1. The input link O2P of a four bar linkage is rotated at 2 rad/s in counter clockwise direction as shown below. The angular velocity of the coupler PQ in rad/s, at an instant when ∠O4O2P = 180°, is

    PQ = Q4Q = √2a
    O2P = O2O4 = a









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    When ∠O4O2 P = 180°

    Now,
    ω3
    =
    I12I23
    =
    a
    ω2I12I232a

    ω3
    =
    1
    22

    ω3 = 1 rad/s

    Correct Option: C


    When ∠O4O2 P = 180°

    Now,
    ω3
    =
    I12I23
    =
    a
    ω2I12I232a

    ω3
    =
    1
    22

    ω3 = 1 rad/s


  1. In a four-bar linkage, S denotes the shortest link length, L is the longest link length, P and Q are the lengths of other two links. At least one of the three moving links will rotate by 360° if









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    According to Grashoff’s Criteria.
    S + L ≤ P + Q

    Correct Option: A

    According to Grashoff’s Criteria.
    S + L ≤ P + Q



  1. For a mechanism shown below, the mechanical advantage for the given configuration is









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    Mechanical advantage =
    Load (output force)
    Effort (input force)

    For a four bar linkage in toggle position, effort = 0
    ∴  Mechanical Advantage = ∞

    Correct Option: A

    Mechanical advantage =
    Load (output force)
    Effort (input force)

    For a four bar linkage in toggle position, effort = 0
    ∴  Mechanical Advantage = ∞