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The graphic below shows a figure and a ball from a table soccer game - Leaving Cert DCG - Question A-4 - 2011
Question A-4
The graphic below shows a figure and a ball from a table soccer game. The drawing on the right, which represents the objects, shows the elevation and incomplete plan... show full transcript
Worked Solution & Example Answer:The graphic below shows a figure and a ball from a table soccer game - Leaving Cert DCG - Question A-4 - 2011
Step 1
Complete the plan of both solids in contact
Answer
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Vertical Line to Contain Centre of Sphere A: Draw a vertical line from the center of sphere A down to the horizontal plane. This establishes the central axis of the sphere.
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Construction to Determine Sphere in Plan (2,1,2): Determine the radius of sphere A, which can be noted from its elevation. Use this radius to create a complete circular arc in the plan.
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Draw Plan of Sphere A Using Correct Radius (2,1): Using the determined radius from the center, draw the complete outline of sphere A in the plan view. This will be a full circle.
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Draw Hemispherical B: For hemisphere B, draw its base in the plan view, maintaining contact with the bottom of sphere A, using its radius similarly.
Step 2
Draw the plan of another sphere, of diameter 20mm
Answer
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Construction to Determine 1st Arc Through Plan of Sphere Centre: From position C on the horizontal line, plot the center of the new sphere, ensuring it is 10mm above the horizontal plane (as the diameter is 20mm).
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Construction to Determine 2nd Arc Through Plan of Sphere Centre: Similarly, draw a second arc to represent the bottom of the sphere at the level of the horizontal plane, completing the full circle of the sphere at position C.
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Draw Plan of Sphere C Including Hidden Details (2,2): Finalize the drawing by ensuring that sphere C's outline is visible, and any necessary hidden details are indicated with dashed lines to show it is in contact with both sphere A and hemisphere B.