ASSIGNMENT-2(ENGINEERING CURVES II)
SWN | ASSIGNMENT-2
Indus University
ASSIGNMENT-2
1).Define: (i) cycloid (ii) Hypocycloid (iii) Epicycloid (iv) involute.
Ans:
- Cycloid :
A cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping.
- Hypocycloid :
A hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the radius of the larger circle is increased, the hypocycloid becomes more like the cycloid created by rolling a circle on a line.
- Epicycloid :
An epicycloid is a plane curve created by tracing a chosen point on the edge of a circle of radius r rolling on the outside of a circle of radius R.
- Involute :
The involute is defined as the path of a point on a straight line which rolls without slipping along the circumference of a cylinder. The involute curve will be required for the construction of gear teeth.
2).A circle of 30 mm radius is rolling on a straight line without slip. Point P is at the point of contact between generating circle and directing line. Draw the locus of point P and name the curve.
3).Construct 3 convolution of the involute of 10 mm longline.
4).Show graphically that the hypocycloid is a straight line. When diameter of rolling circle is half of the directing circle.
5).Draw an Involute for a semi-circle of radius 25mm
6).Construct the archemedian spiral of two convolutions. The largest radius is 100 mm and the smallest radius is 20 mm.
