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The 3D graphic on the right shows a camshaft and roller follower from a lawnmower - Leaving Cert DCG - Question C-4 - 2011

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Question C-4

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The 3D graphic on the right shows a camshaft and roller follower from a lawnmower. Details of a similar cam and follower are given below. The camshaft diameter is ... show full transcript

Worked Solution & Example Answer:The 3D graphic on the right shows a camshaft and roller follower from a lawnmower - Leaving Cert DCG - Question C-4 - 2011

Step 1

Draw the rectangular block B and circular roller L, positioned on the ground as shown.

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Answer

To draw the rectangular block B and the circular roller L:

  1. Start with Block B: Draw a rectangle to represent block B, maintaining the specified dimensions from the question.
  2. Add Roller L: Draw a circle below the block to represent roller L, ensuring it is tangent to the ground.
  3. Positioning: Make sure the rectangle (block B) is above the circle (roller L) and the dimensions are clearly labeled.

Step 2

Draw the locus of P for this movement.

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Answer

To draw the locus of point P:

  1. Identify Point P: Mark point P on the circumference of roller L where it touches the ground.
  2. Roller Movement: As roller L rolls, mark the circular path traced by point P.
  3. Divide Circle: Indicate divisions corresponding to the ground movement, ensuring the trace respects the rolling motion, assessing a horizontal distance from the position where roller L is positioned originally.

Step 3

Show the block B in its final position after this rolling.

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Answer

To illustrate the final position of block B:

  1. Block Movement: Shift block B horizontally in the direction of rolling, ensuring that it stays above the locus drawn for point P.
  2. Final Location: Draw the rectangle (block B) at its new position after the rolling process is complete, ensuring to maintain orientation relative to roller L.
  3. Label Clearly: Indicate this position distinctly and clearly for readability.

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