A linear cam is to be made whose rate of rise (as it moves in the negative x direction) at the point (x, y) on the profile is equal to one-half of the gradient of the line joining (x, y) to a fixed point on the cam (x₀, y₀). Show that the cam profile is a solution of the differential equation

and hence find its equation. Sketch the cam profile.

Transcribed Image Text:

dy dx y-yo 2(x - xo)