(1) : Define: (i) cycloid (ii) Hypocycloid (iii) Epicycloid (iv) involute.
Ans :
- Cycloid : The curve generated by a point on the circumference of a circle that rolls along a straight line.
- Hypocycloid : A curve traced by a point on the circumference of a circle rolling internally on the circumference of a fixed circle.
- Epicycloid : A curve traced by a point on a circle that rolls on the outside of a fixed circle.
- Involute : The curve traced by the end of the thread (the pencil) as the thread is unwound from a cylinder while the thread is in tension
(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.
