GATE ME 2019 Set 1 — Question 15
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Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Cams & Followers
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Question
A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity . At time , the vertical position of the follower is , and the system is in the configuration shown below.
The vertical position of the follower face, is given by
Correct answer
(C) e(1 - cos ω t)
Solution
For a circular eccentric cam with eccentricity and radius , the distance from the center of rotation to the flat-faced follower is given by if the follower is at its lowest position at . Given that the angular velocity is constant, the angle of rotation is . At , the follower is at its lowest position as shown by the dashed circle in the diagram. The distance from the center of rotation to the follower face is:At any time , the cam has rotated by . The vertical distance from the center of rotation to the follower face is:The vertical displacement is the change in position from the initial state at :Thus, the correct option is (C).
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