WSKT 212 PAC

‘n Elliptiese masjienonderdeel word in
die volgende diagram getoon; die
punt O is die middelpunt van die
onderdeel en hierdie punt word as
oorsprong van ‘n XY-assestelsel
gekies:
1.1 Skryf die vergelyking van die ellips in
algemene vorm neer.
1.2 A, B, C en D is gate wat in die
onderdeel geboor is. Bereken die
afstand AD.
1.3 Bereken die grootte van θ , dit is
∠ DAB .
1.4 MPQR is ‘n reghoekige opening wat
in die onderdeel gesny is. Indien M
die middelpunt is van AD, bereken die
oppervlakte van die opening MPQR.
Opgawe 1
Vraag 1/ Question 1
30
An elliptical machine part is shown
in the following diagram; the point
O is the centre of of the part and
this point is chosen as the origin of
an XY-system of axes:
Write down the equation of the ellips in
general form.
A, B, C and D are holes which were
drilled through the part. Calculate teh
distance AD.
Calculate the magnitude of θ , that is
∠ DAB .
MPQR is a rectangular hole that was
cut into the part. If M is the midpoint of
AD, calculate the area of the hole
MPQR.
1.5 Bereken die gradiënt (helling) van AB. Calculate the gradient (slope) of AB.