The 3D graphic on the right shows a pedal-operated weaving machine - Leaving Cert DCG - Question C-4 - 2012
Question C-4
The 3D graphic on the right shows a pedal-operated weaving machine.
A link mechanism in the machine is similar to the one shown in line diagram format in Fig. C-4(a... show full transcript
Worked Solution & Example Answer:The 3D graphic on the right shows a pedal-operated weaving machine - Leaving Cert DCG - Question C-4 - 2012
Step 1
Draw links and circular paths as given.
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Answer
To draw the links and paths, first sketch the links OA, BC, AD, and CP based on the provided lengths: OA = 32, BC = 42, AD = 80, CP = 165. Ensure the point O is designated at the center, and arms OA and BC are oriented correctly based on the anti-clockwise rotation.
Step 2
Divide semi-circle into equal parts.
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Answer
Construct a semi-circle with a radius determined by the arm lengths. Divide this semi-circle into equal parts, marking the subdivisions clearly.
Step 3
Divide circle line corresponding to no. of equal parts.
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Using the same radius as above, define the full circle's diameter and divide it into the same number of equal parts as the semi-circle, ensuring symmetry.
Step 4
Locate positions for point D.
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Calculate the position of point D considering the rotation of arm BC. Use geometric constructions to mark point D's position accurately.
Step 5
Extend arm CD to determine points on required locus (point P).
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From the determined position of point D, extend arm CD to plot the locus of point P. This should be traced accurately throughout the rotation.
Step 6
Draw required locus.
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Finalize the drawing by smoothly connecting the plotted points to form the continuous locus of point P. This should represent all positions of point P throughout its full movement.
Step 7
Draw the given elevation of the cylinder and project a plan.
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Begin by accurately sketching the elevation view of the cylinder as specified. Then project a horizontal plan view, ensuring alignment with the elevation.
Step 8
Draw the surface development of the front half of the cylinder, including points A and B.
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Unroll the front half of the cylinder to create a flat surface representation. Mark the positions of points A and B on this development, ensuring spatial orientation is preserved.
Step 9
Determine height and width for development.
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Measure the height and width of the cylinder. Use these dimensions to ensure the development is proportionate and accurately reflects the cylindrical shape.
Step 10
Locate points A and B on development.
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On the developed view, clearly mark points A and B, ensuring to reference their positions relative to the cylinder.
Step 11
Determine points on helix (min 4 incl. 'turning point').
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Calculate the coordinates for points along the helical slot. Include at least four distinct points, ensuring to mark the 'turning point' appropriately.
Step 12
Draw required helix.
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Using the determined points, sketch the helical path accurately on the surface development, ensuring smooth continuity through the calculated points.
Step 13
Indicate rotation angle as required.
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Answer
Measure and indicate the total angle of rotation needed for the cylinder to maintain the vertical cutting head position. This should be visually referenced on the diagram.
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