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C-4. Cams, cranks and pistons are parts of the engine of a motorbike - Leaving Cert DCG - Question C-4 - 2019

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Question C-4

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C-4. Cams, cranks and pistons are parts of the engine of a motorbike. (a) The graphic shows an enlarged view of a cam from a motorbike engine. A cam, similar to th... show full transcript

Worked Solution & Example Answer:C-4. Cams, cranks and pistons are parts of the engine of a motorbike - Leaving Cert DCG - Question C-4 - 2019

Step 1

Draw the displacement diagram for the cam

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Answer

To create the displacement diagram for the cam, follow these steps:

  1. 360° Division: Start by dividing the circumference into 360° segments.
  2. Set Heights: Use a height of 70mm for the rise from 30° to 120° and 14mm for the drop from 120° to 180°.
  3. Draw Dwell Sections: From 0° to 30°, maintain a horizontal line at 0 height to depict dwell.
  4. Rise Section: Between 30° to 120°, draw a straight line rising to 70mm.
  5. Fall Sections: From 120° to 180°, draw a line falling straight down to 14mm, then from 180° to 360°, draw the final drop with simple harmonic motion until reaching 0.
  6. Final Review: Ensure all segments are correctly labeled and use a scale of 15mm per 30° for accurate representation.

Step 2

Plot the locus of point B for this movement

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Answer

To plot the locus of point B for the crank and rod mechanism, follow these steps:

  1. Set up the Diagram: Start with points O, A, and C as described in the diagram. Point O is the rotation point of crank OA.
  2. Draw Circle about O: Draw a circle about point O with a radius equal to the length of crank OA.
  3. Mark Point A: Position point A at the end of crank OA for its initial rotation.
  4. Locus Creation: As the crank rotates, mark the positions of point B for each relevant angle (45°, etc.) and connect these points to establish the locus of movement.
  5. Complete the Locus: Continue plotting the positions for each consecutive rotation until the full path of point B is clear.

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