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(a) The graphic on the right shows a Fluid Agitator, as used when donating bodily fluids - Leaving Cert DCG - Question C-4 - 2018

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Question C-4

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(a) The graphic on the right shows a Fluid Agitator, as used when donating bodily fluids. Movement is generated by a link mechanism, which causes the tray to rock to... show full transcript

Worked Solution & Example Answer:(a) The graphic on the right shows a Fluid Agitator, as used when donating bodily fluids - Leaving Cert DCG - Question C-4 - 2018

Step 1

Plot the locus of point P

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Answer

  1. Begin by drawing the lines OA, CB, and AB according to the dimensions given, ensuring Crank OA is represented at 48mm from point O.
  2. Using a compass, set the radius to 110mm and draw arcs for the link AB, pin-jointed at points A and B.
  3. As crank OA rotates through 360 degrees, use the midpoint of link AB to plot point P in multiple positions, creating a circular path that represents the locus of P.

Step 2

Determine and indicate, in degrees, the maximum angle of rotation of link CB

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Answer

  1. Analyze the movement of link CB which pivots at point C.
  2. Since link CB is fixed at 110mm, calculate the angles formed at positions where the motion limits occur.
  3. Using geometric properties, identify the point where link CB reaches its maximum extension.
  4. This maximum angle can be approximated using trigonometric identities relating to the lengths of links and the resulting angles.

Step 3

Draw the plan of the spiral

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Answer

  1. Start by outlining a circular base for the inverted cone which represents the spiraling path.
  2. Use the center as the reference point and set a radius that is appropriate based on the spiral’s dimensions.
  3. Sketch the Archimedean spiral according to the specified dimensions, ensuring equidistant spacing between turns.

Step 4

Draw the elevation of inverted cone

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Answer

  1. Sketch a vertical line from the apex of the inverted cone to the base.
  2. Represent the cone's height and ensure the base aligns horizontally.
  3. Mark the points where the sides of the cone touch the circumference to indicate the diameter.

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