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The 3D graphic on the right shows a piece of handheld playing equipment which is used to catch and throw a small ball in a child's game - Leaving Cert DCG - Question C-3 - 2009
Question C-3
The 3D graphic on the right shows a piece of handheld playing equipment which is used to catch and throw a small ball in a child's game. It consists of a wooden hand... show full transcript
Worked Solution & Example Answer:The 3D graphic on the right shows a piece of handheld playing equipment which is used to catch and throw a small ball in a child's game - Leaving Cert DCG - Question C-3 - 2009
Step 1
Draw the given plan and elevation.
Answer
To draw the plan and elevation, first, use the provided dimensions to sketch the object. Begin with the circular base of the cone at the plan view, which is given as O200. Then, from the center of this circle, draw a vertical line to represent the height of the cone, which is 80. Connect the top point of this line to the edges of the circle to complete the elevation view.
Step 2
Draw the development of the conical surface.
Answer
To develop the conical surface, calculate the slant height (l) using the Pythagorean theorem:
l = rac{O200}{2}
and the height (h) from the elevation (80). Use these dimensions to create a sector where the radius is the slant height and the angle is determined by the base circumference. Draw radial lines from the center to represent the sections of the cone.
Step 3
Determine the true shape of the semi parabola PV.
Answer
To determine the true shape of the semi parabola PV, first identify points P and V using the dimensions from the plan and elevation. The focus of the parabola can be placed at a distance of half the width from the vertex (in this case, O60) directly below the axis, followed by sketching the symmetrical arc that defines the semi parabola. Clearly label the axis and focus positions on the true shape.