A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity ω. At time t = 0, vertical position of follower is y(0) = 0, and the system is in the configuration shown below

Then vertical position of the follower face, y(t) is given by

Answer :

Solution :

Displacement of follower

                                            y =OB’-OB            (OB’ will be parallel to PC)

                                            = CM - OB

                                            = (PC — PM) - OB      (OB’ = CM)

                                           = R- ecosθ - (R-e) = R-ecosθ-R+e

                                           = e(1 — cosθ)          (In time (t) θ = ωt)

                                           = e(1 — cosωt)