Referring to the earlier linkage problem, what is the minimum allowable length of the coupler__________________?
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Answer: C. slightly more than 45 mm
Explanation
Triangle inequality limits for linkage closure dictate the minimum allowable length of the coupler mechanism. For the given link dimensions, the minimum allowable coupler length is calculated as slightly more than 45 mm. If the coupler were shorter than this limit, the links could not span the required distance to form a closed loop. The triangle inequality states that the sum of any two sides of a triangle must exceed the length of the remaining side. In four bar linkages, difference limits between link lengths govern the minimum allowable dimensions for movable parts. Precision kinematic design prevents mechanical interference and ensures proper assembly of all four connected links.
A length of exactly 45 mm represents the theoretical boundary limit where linkage closure fails. Values near 95 mm represent maximum upper limits rather than the minimum allowable coupler length. Arbitrary dimensions outside these calculated inequality ranges produce non-functional mechanical assemblies.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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