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In this Graphical Linkage Synthesis question, use clear illustrations to show the two-position synthesis of a four-bar Grashof crank-rocker. The mechanism should provide 45 degrees of rocker rotation in a non-quick return mechanism with constant speed motor input.

In your construction method and finished linkage diagrams, identify the following:
- Links
- Forward and return strokes
- Rotating and rocker pivots

Answer :

Final answer:

To synthesize a Grashof crank-rocker for 45 degrees of rocker rotation, sketch the intended rocker arm movement, position the crank and coupler links, and locate rocker pivot points. This system uses constant speed motor input and ensures equal forward and return strokes. The four links in this mechanism are the input crank, output rocker, coupler link, and fixed link.

Explanation:

The two-position synthesis of a four-bar Grashof crank-rocker to achieve 45 degrees of rocker rotation involves a number of specific steps. First, begin by sketching two distinct positions of the intended rocker arm movement and then draw a line for the fixed link. Position the crank and coupler links accurately based on the desired rotation angles. The rotation of the crank is facilitated by constant speed motor input, making it the input link in the system.

Locate the rocker pivot points and draw the full rocker link in both positions. The movement of the coupler link between the pivot points results in two different positions. This mechanism does not include a quick return, meaning the forward and return strokes of the rotation are equal, or that the crank needs to make a full rotation for the rocker to return to its original position.

The four bar linkage comprises the input link (crank), output link (rocker), coupler link, and the fixed link. The link connected to the frame by a pivoted joint is the input crank. The output link or the rocker is connected to the frame using a rotating pivot, which facilitates back and forth reciprocating motion. To differentiate the links in your diagram, you can label them 1 through 4, with 1 typically being the fixed link or frame.

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