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Cams are used in the engines of quad bikes - Leaving Cert DCG - Question C-4 - 2017

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Question C-4

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Cams are used in the engines of quad bikes. Draw the displacement diagram and profile of a radial plate cam, which rotates in an anti-clockwise direction and imparts... show full transcript

Worked Solution & Example Answer:Cams are used in the engines of quad bikes - Leaving Cert DCG - Question C-4 - 2017

Step 1

Draw camshaft

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Answer

Begin by sketching the camshaft to define the axis of rotation, which will serve as the basis for the entire displacement diagram. Clearly label the camshaft diameter as 20mm.

Step 2

Establish 'nearest approach' on diagram

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Indicate the nearest approach between the roller center and the camshaft center, which is 40mm, and ensure this feature is prominent in the displacement diagram.

Step 3

Divide circle into 12 equal parts (30° divisions)

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Using a protractor, divide the 360° of the circle into 12 equal segments of 30° each. Label these divisions around the circumference of the cam.

Step 4

Horizontal divisions on displacement diagram

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Plot horizontal reference lines on the displacement diagram corresponding to the vertical displacements that will be established in later steps.

Step 5

Draw Uniform Acceleration on displacement diagram

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From 0° to 120°, use a curve to represent a uniform acceleration up to a height of 36mm on the vertical scale, ensuring the curve smoothly transitions in accordance with physics principles of acceleration.

Step 6

Draw Uniform Velocity on displacement diagram

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From 120° to 180°, draw a horizontal line representing uniform velocity, reaching 24mm above the base, indicating constant motion during this phase.

Step 7

Construct Simple Harmonic Motion on displacement diagram

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From 180° to 360°, sketch a sine wave pattern that represents simple harmonic motion, descending to a total height of 60mm, transitioning smoothly back to the 0mm mark at 360°.

Step 8

Transfer heights from displacement diagram to cam diagram

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Prepare to draw the cam profile by transferring the marked heights from the displacement diagram to the corresponding angles on the cam profile template.

Step 9

Draw rollers on 30° division lines

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At each 30° interval on the displacement diagram, mark the positions of the rollers as circles, maintaining a diameter of 18mm.

Step 10

Complete cam diagram

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Finally, connect the points to complete the cam profile, ensuring that the characteristics of the motion (acceleration, velocity, and harmonic) are accurately represented.

Step 11

Draw lines AB, BC and C-C2

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Begin the second part by drawing the links AB and BC along with the horizontal axis C2-C3 on the diagram to structure the gripper mechanism accurately.

Step 12

Division of first 60° angle into equal parts

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Divide the first 60° angle into 6 equal segments, marking out each position accurately for points on the locus.

Step 13

Division of C-C2 into corresponding no. of equal parts

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Further subdivide the length C-C2 into equal parts (corresponding to the angle divisions previously established) to assist in mapping the movement.

Step 14

Use of points established at (ii) above to determine points on locus

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Utilize the reference points established to plot the arc that defines the locus of point A as the mechanism moves to the right.

Step 15

Draw required locus (any = 1)

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Illustrate the locus of point A based on the first movement sequence, ensuring that the curvature and movement direction are accurate to the mechanical setup.

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