$($B$)$ A cam is rotating at $200$ rpm operate a reciprocating roller follower of radius $2\mathrm{.}5$ cm $.$ The least radius of cam is $30$ mm $,$ stroke of follower is $5$ cm $.$ Ascent takes place by uniform acceleration and deceleration and descent by simple harmonic motion. Ascent takes place by $70$ and descent during $50$ of cam rotation. Dwell between ascent and descent $60.$ Sketch displacement, velocity, acceleration, diagram. Indicate the maximum values of velocity and acceleration and state the nature of curves.