Question

A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity $\omega$. 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. $e(1-cos\omega t)$
• B. $e(1-cos2\omega t)$
• C. $esin\omega t$
• D. $esin2\omega t$

Answer 1

The correct option is A $e(1-cos\omega t)$



Displacement of follower
$y=O{B}^{\prime }-OB(O{B}^{\prime }$will be parallel to PC)

$=CM-OB$

$=(PC-PM)-OB(O{B}^{\prime }=CM)$

$=R-ecos\theta -(R-e)$

$=R-ecos\theta -R+e$

$=e(1-cos\theta )\therefore \left[\text{ln time}\right(t)\theta =\omega t]$

$=e(1-cos\omega t)$