Question
A cam with a translating flat-face follower is desired to have the follower motion y (θ) = 4[2πθ – θ²], 0 ≤ θ ≤ 2π Contact stress considerations dictate that the radius of curvature of the cam profile should not be less than 40 mm anywhere. The minimum permissible base circle radius is _____ mm (round off to one decimal place).
Answer :
Correct answer is : 48
(Rcruvature)min=40 mm
For flat face follower,
Displacement equation:
y=4(2πθ−θ2)
dydθ=V=4(2π−2θ)
=8(π−θ)
(For y to be max dydθ)=0⇒θ=π
a=dvdθ=−8
(Rcurvature)Min=RBase+(y+a)min
(ymin is 0 at θ=0,2π)
40=RBase+[0−8]min
40=RBase+[−8]
RBase=40−(−8)=40+8=48 mm
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