Question

1. holes are drilled in a plate as shown in figure 6 - 17. the holes are drilled in the sequence shown: that is, hole 1 is drilled first, hole 2 is drilled second, and so on. movement to the left from one hole to the next is expressed as the negative (-) direction. movement to the right from one hole to the next is expressed as the positive (+) direction.

figure 6 - 17
details
express the distance and direction ( + or - ) when moving from the holes listed.
a. hole 1 to hole 2
b. hole 2 to hole 3
c. hole 3 to hole 4
d. hole 4 to hole 5
e. hole 5 to hole 6
f. hole 3 to hole 6
g. hole 6 to hole 3

Explanation:

Step1: Determine direction and distance from hole 1 to hole 2

Hole 2 is to the left of hole 1. Distance between them is 75 mm. So it is - 75 mm.

Step2: Determine direction and distance from hole 2 to hole 3

Hole 3 is above hole 2. Since we are only considering horizontal movement for the +/ - convention and there is no horizontal movement, distance is 0 mm.

Step3: Determine direction and distance from hole 3 to hole 4

Hole 4 is to the right of hole 3. First, we find the horizontal distance. The horizontal distance from the left - most point related to hole 3 to the left - most point related to hole 4 is \(104 + 60=164\) mm. So it is + 164 mm.

Step4: Determine direction and distance from hole 4 to hole 5

Hole 5 is above hole 4. Since we are only considering horizontal movement for the +/ - convention and there is no horizontal movement, distance is 0 mm.

Step5: Determine direction and distance from hole 5 to hole 6

Hole 6 is to the right of hole 5. The horizontal distance is 95 mm. So it is + 95 mm.

Step6: Determine direction and distance from hole 3 to hole 6

We need to consider the horizontal movement. First, from hole 3 to hole 4 (right, + 164 mm) and then from hole 4 to hole 5 (no horizontal movement) and then from hole 5 to hole 6 (right, + 95 mm). Total horizontal distance is \(164 + 95=259\) mm. So it is + 259 mm.

Step7: Determine direction and distance from hole 6 to hole 3

It is the opposite of the movement from hole 3 to hole 6. So it is - 259 mm.

Answer:

a. - 75 mm
b. 0 mm
c. + 164 mm
d. 0 mm
e. + 95 mm
f. + 259 mm
g. - 259 mm