Multiple choice

Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by t, lying in the interval 0 to 2p, is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at (x, y) = (0, 0)?

  1. x(t) = cos t, y(t) = sint

  2. x(t) = cos t, y(t) = 2 sint
  3. x (t) $\frac{1}{2}$ + cos(t) = 1 +, y(t) = 2 sint
  4. x(t) $\frac{1}{2}$ + cos (t) = 1 +, y(t) = sint
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Correct option is (3). $d_{max} = \sqrt{\frac{5}{4} + 1}\\ \hspace{0.9cm} = \sqrt{\frac{9}{4}}\\ \hspace{0.9cm} = 1.5 \hspace{0.5cm} \Rightarrow d_{D, max} = 1.5$

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