GATE Papers >> Mechanical >> 2014 >> Question No 246

Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by t, lying in the interval 0 to 2π, is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at (x, y) = (0, 0) ?

• (A)  $x\left(t\right)=\cos t,y\left(t\right)=\sin t$   
• (B)  $x\left(t\right)=\cos t,y\left(t\right)=2\sin t$   
• (C)  $x\left(t\right)=\frac{1}{2}+\cos t,y\left(t\right)=2\sin t$   
• (D)  $x\left(t\right)=\frac{1}{2}+\cos t,y\left(t\right)=\sin t$