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.
- 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 × ωPQωPQ = 2 rad/sec 3 Correct Option: B
Maximum speed during forward stroke occur when QR & QS are perpendicular.
V = 250 × 2 = 750 × ωPQωPQ = 2 rad/sec 3
- 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
- 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 ω2 I12I23 2a ω3 = 1 2 2
ω3 = 1 rad/sCorrect Option: C
When ∠O4O2 P = 180°Now, ω3 = I12I23 = a ω2 I12I23 2a ω3 = 1 2 2
ω3 = 1 rad/s
- 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 + QCorrect Option: A
According to Grashoff’s Criteria.
S + L ≤ P + Q
- 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 = ∞