In epicyclic (planetary) gear trains, the contour method velocity equation requires that the sum of relative angular velocities around a closed loop satisfies:

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Mechanical Engineering QUESTION #2465

Question 1

\(\sum_i \omega_{i,i-1} = \omega_{input}\)
\(\sum_i \omega_{i,i-1} = 0\) and \(\sum_i \overrightarrow{AA_i} \times \omega_{i,i-1} = 0\)✔️
\(\prod_i \omega_{i,i-1} = 1\)
\(\sum_i N_i \omega_{i,i-1} = 0\)

Correct Answer Explanation

The velocity equations for a simple closed kinematic chain: \(\sum_i v_{i,i-1}=0\) and \(\sum_i \overrightarrow{AA_i}\times v_{i,i-1}=0\).

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