Construct a displacement diagram, with rise from 0 to
/2, dwell from
/2 to
, and return from
to 2
using two cubic splines to describe each, rise and return, parts of the diagram. Assume lift L = 1 cm. Satisfy the smoothness requirements at the transition points (boundaries), and the equality of displacements at the inflection points. Plot the displacement, velocity, and acceleration diagrams of the points on the knife-edge follower.