Question
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
Options :
e(1 – cos ωt)
e(1 + cos 2ωt)
e sin ωt
e sin 2ωt
Answer :
e(1 – cos ωt)
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)
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