GATE ME 2014 Set 3 — Question 46
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Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Cams & Followers
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Question
Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by , lying in the interval to , is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at ?
Correct answer
(C) x(t) = (1)/(2) + cos t, y(t) = 2sin t
Solution
The translation (stroke) of the follower is given by , where is the distance from the center of rotation to the pitch curve.
(A) . .
(B) . .
(C) . By analyzing the function for , we find and . .
(D) . .
Comparing the values, option (C) provides the maximum translation.
(A) . .
(B) . .
(C) . By analyzing the function for , we find and . .
(D) . .
Comparing the values, option (C) provides the maximum translation.
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