GATE ME 2018 Set 2 — Question 42
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Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Cams & Followers
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Question
In a cam-follower, the follower rises by as the cam rotates by (radians) at constant angular velocity (radians/s). The follower is uniformly accelerating during the first half of the rise period and it is uniformly decelerating in the latter half of the rise period. Assuming that the magnitudes of the acceleration and deceleration are same, the maximum velocity of the follower is
Correct answer
(C) (2hω)/(δ)
Solution
The total time for the rise is .
The follower undergoes uniform acceleration for the first half of the time () and uniform deceleration for the second half ().
The velocity-time graph is a triangle with base and height .
The total displacement (rise) is the area under the graph:
The follower undergoes uniform acceleration for the first half of the time () and uniform deceleration for the second half ().
The velocity-time graph is a triangle with base and height .
The total displacement (rise) is the area under the graph:
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