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GATE ME 2020 Set 1 — Question 48

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NAT+2 / -0HardCams & FollowersCams, Gears & Gear TrainsTheory of Machines & Vibrations

Theory of Machines & Vibrations → Cams, Gears & Gear Trains → Cams & Followers

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Question

A cam with a translating flat-face follower is desired to have the follower motiony(θ)=4[2πθ−θ2],0≤θ≤2π.y(\theta) = 4 [ 2\pi\theta - \theta^2 ], \quad 0 \leq \theta \leq 2\pi.Contact stress considerations dictate that the radius of curvature of the cam profile should not be less than 40 mm40\text{ mm} anywhere. The minimum permissible base circle radius is ________ mm\text{mm} (round off to one decimal place).
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