GATE ME 2022 Set 2 — Question 52
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Theory of Machines & Vibrations → Mechanisms & Linkages → Velocity & Acceleration Analysis
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Question
In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity of the 2 cm long link is rad/s. Given the dimensions as shown, the magnitude of the angular velocity of the 4 cm long link is given by _____ rad/s (round off to 2 decimal places).
Correct answer
1.24 to 1.26
Solution
The angular velocity ratio for a four-bar mechanism is given by the angular velocity ratio theorem:where is the instantaneous center of rotation of link 4 relative to link 2. is located at the intersection of the coupler line and the line of centers . From the geometry of the configuration shown:
- cm
- cm
- cm
- cm
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