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Design a four-bar Grashof crank-rocker mechanism for 80 degrees of output rocker motion with a quick return time ratio of 1:1.33.

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Answer :

Final answer:

The design of a four bar Grashof crank-rocker mechanism for 80 degrees of output rocker motion with a quick return time ratio of 1:1.33 involves understanding Grashof's Law, establishing the link lengths based on this law and adjusting the position and length of the rocker to achieve the desired rotation and quick return.

Explanation:

To design a four-bar Grashof crank-rocker mechanism for 80 degrees of output rocker motion with a quick return time ratio of 1:1.33, we need to first understand the principles of the theory. In this case, we'll use Grashof's Law, which states that for a four-bar mechanism, the sum of the shortest and longest link lengths cannot exceed the sum of the other two link lengths for at least one link to fully rotate.

For the quick return ratio of 1:1.33, the following relationship applies: S + L < 2 (P + Q), where S is the shortest link, L is the longest link, and P and Q are the other two link lengths. Use this equation to determine the lengths of your four bars.

After determining the link lengths, adjustments can be made to the initial position of the rocker and the appropriate linkage length in order to achieve the desired 80-degree rotation. You also need to ensure that the rocker's dwell period is minimized in order to obtain the desired quick return of 1.33.

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