Question

In: Mechanical Engineering

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

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

Solutions

Expert Solution

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.


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