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The images below show a cutter which is part of a paper punch - Leaving Cert DCG - Question A-3 - 2019
Question A-3
The images below show a cutter which is part of a paper punch. The cutter appears as a parabola in elevation. The drawing shows the outline elevation of the cutter... show full transcript
Worked Solution & Example Answer:The images below show a cutter which is part of a paper punch - Leaving Cert DCG - Question A-3 - 2019
Step 1
Locate the remaining points on the left hand side of the parabola.
Answer
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Division of vertical line: The vertical line through point V is divided to locate various key points on the left side.
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Top line division: The top horizontal line above point V should be divided into equal segments to assist in locating other points.
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Construction lines: Draw construction lines from the top line down to the left side, placing two sets of points evenly along the left side from V down towards point A.
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Identifying remaining points: Using symmetry and the characteristics of a parabola, identify other corresponding points on the left-hand side based on the curve observed in the given diagram.
Step 2
Step 3
Draw the complete parabola.
Answer
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Complete curve on LHS: Connect all the points identified on the left-hand side using a smooth parabolic curve.
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Draw curve on RHS: Mirror the curve from the left side onto the right from vertex V to complete the parabola. Ensure the arc is consistent and smooth, reflecting the typical shape of a parabola.