For a mechanism containing L links, how many kinematic inversions are possible_______________?
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Answer: C. L
Explanation
A kinematic inversion is created by fixing a different link in a mechanism relative to a reference frame. Since a mechanism containing L links has exactly L distinct links available, it yields L unique inversions. Changing the fixed link alters the relative motion of the remaining components while preserving their joint connections. Kinematic chains become useful mechanisms only when one specific link is constrained from moving as the fixed frame. Grubler criterion and structural analysis principles help determine the mobility and degrees of freedom for these links. Different inversions of the same kinematic chain can produce completely different types of practical machinery.
Adding one to the total link count exceeds the number of physical components available to be fixed as frames. Subtracting one would incorrectly omit valid configurations by ignoring the final link in the closed chain. Altering the link count by adding or subtracting two violates the fundamental topological structure of the mechanism.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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