Technical Drawing - Exam Papers - Higher - 1994 - Paper 1

Question 5

(a) Draw one convolution of a logarithmic spiral where the shortest radius is 25 mm and the lengths of succeeding radii at intervals of one radian increase in the ratio of 6 : 5.

(b) Fig. 4 shows a circle which rolls clockwise along the line AB for three-quarters of a revolution.
Also shown is the initial position of a point P on the circle. During the rolling of the circle, the point P moves along the quadrant PCA to A.
Draw the locus of P for the combined movement.