The attached figure indicates a reciprocating circular cam operating

a translating roller follower, where both the cam radius R and the

roller radius $r$ are given. Find the maximum allowable stroke $(2x_0)$

of the cam motion such that the pressure angle is kept in the range

of $+-30.$

Write symbolic expressions relating the follower displacement, $y,$

and the pressure angle, $,$ to the cam motion, $x.$ If the follower rises

against a resisting force $N$ and a spring force $F_S,$ neglect the

frictional forces in the follower guides and write an expression to

calculate the force $F_c,$ as a function of $N$ and $F_S,$ required to drive

the cam block in the horizontal plane. Take the coefficient of friction

between the cam block and its guide in the horizontal plane as $.$