Question

What is involute? Draw an involute with string length more than the cicumference of the corresponding circle

Answer 1

Solution Steps:

• Point or end P of string AP is exactly ?D distance away from A. Means if this string is wound round the circle, it will completely cover given circle. B will meet A after winding.
• Divided  ?D (AP) distance into 8 number of equal parts.
• Divided circle also into 8 number of equal parts.
• Named after A, 1, 2, 3, 4, etc. up to 8 on ?D line AP as well as on circle (in anticlockwise direction).
• To radius C-1, C-2, C-3 up to C-8 drew tangents (from 1,2,3,4,etc to circle).
• Took distance 1 to P in compass and mark it on tangent from point 1 on circle (means one division less than distance AP).
• Named this point P1.
• Took 2-B distance in compass and mark it on the tangent from point 2. Name it point P2.
• Similarly took 3 to P, 4 to P, 5 to P up to 7 to P distance in compass and marked on respective tangents and located P3, P4, P5 up to P8 (i.e. A) points and joined them in smooth curve it is an INVOLUTE of a given circle.