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Theory of Machines Miscellaneous

  1. In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is
    [Note: All dimensions are in mm.]

    1. 0.05
    2. 0.1
    3. 5.0
    4. 10.0
Correct Option: B

∆PQR ∼ ∆SRO

PQ
=
PO
.....(1)
SRSO

(PO)2 = (PQ)2 + (OQ)2
∴ PQ = √(PO)² - (OQ)²
= √50² - 25² = 43.3 mm
From (1),
43.3
=
45 + 5
SR5

SR = 4.33 mm
VQ = VR = SR × ω
= 4.33 × 1 = 4.33 m/s
ωPQ =
VPQ
=
4.33
= 0.1 rad / sec
PQ43.3



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