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Question

A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity ω. At time t = 0, the vertical position of the 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

A
e(1cosωt)
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B
e(1cos2ωt)
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C
e sin ωt
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D
e sin 2ωt
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Solution

The correct option is A e(1cosωt)


Displacement of follower
y=OBOB(OBwill be parallel to PC)

=CMOB

=(PCPM)OB(OB=CM)

=Recosθ(Re)

=RecosθR+e

=e(1cosθ)[ln time(t)θ=ωt]

=e(1cosωt)

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