Determine an expression for the curvature of the cam profile segment synthesized in Problem 5.51. Find the minimum and maximum curvature values. Problem 5.51 Design a disk cam to produce the following...

Determine an expression for the curvature of the cam profile segment synthesized in Problem 5.51. Find the minimum and maximum curvature values.

Problem 5.51

Design a disk cam to produce the following motion of a translating radial roller follower: a rise through a distance of 50 mm with simple harmonic motion during 180⁰
of rotation, followed by a return, also with simple harmonic motion, during the remaining 180⁰
of cam rotation. The base-circle radius is 100 mm and the roller radius is 25 mm. Determine the pressure angle corresponding to cam angles of 30⁰, 60⁰
, and 90⁰.