(a) The image shows a skip lorry - Leaving Cert DCG - Question C-4 - 2021
Question C-4
(a) The image shows a skip lorry. Details of the rear of the lorry are given in Fig. C-4(a) below.
The line AB represents the hydraulic arm which is used to load an... show full transcript
Worked Solution & Example Answer:(a) The image shows a skip lorry - Leaving Cert DCG - Question C-4 - 2021
Step 1
Draw outline of L1, Wheel, Arm AB and Skip
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Answer
To begin, sketch the outline of the lorry showing the base L1, the wheel, the arm AB, and the skip. Ensure accuracy by using the scale of 1:1, representing all components proportionally proper to the provided dimensions.
Step 2
Draw the line AB
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Indicate line AB in its initial position, showing its angle of 150° from the vertical line L1. Label point A, the pivot, clearly.
Step 3
Establish min of 5 angular divisions (30°)
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Divide the circle into a minimum of five equal angular divisions of 30°. This creates reference points for drawing the spiral.
Step 4
Establish corresponding intermediate radii on angular division lines
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Determine the corresponding radii values at each angular division. The initial radius at AB is 90mm, and at AB1, it’s 122mm. Draw lines at these angles.
Step 5
Draw Archimedean spiral through required points… (Any i = 1)
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Construct the Archimedean spiral by connecting the points established by the angular divisions and corresponding radii. Ensure that the spiral smoothly transitions from point A to point B.
Step 6
Draw line BC
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From the end of line AB, draw line BC according to the specified dimensions, ensuring that it correctly represents the position of point C on the skip.
Step 7
Determine positions on locus of C
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Calculate and mark the positions of point C as the arm AB rotates and extends. Ensure that you account for the horizontal base of the skip.
Step 8
Draw required locus
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Finally, sketch the path traced by point C to depict its motion as the arm moves, keeping the skip in a horizontal position throughout the movement.
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