A flexible beam-like reflective component is used to guide a focused ray of light. When the beam is undeformed the light ray hits at mid-length of the beam and reflects directly back into the source of the light ray. The beam is to be deformed in such a way as to cause the light ray to be deflected by an angle e. The flexure inducing device is such that that both ends of the beam cannot rotate. Only the right hand end of the beam can deflect by some amount 8 (shown downward). Assume that the light ray incident point can be approximated as the centerline of the beam and that the shape of the deformed centerline of the beam can be described using a Hermite parametric cubic equation. Given that the length L of the flexible beam is 2 cm, compute the required displacement, 8, to cause an angle of reflection (0) equal to 10 degrees. Plot the relationship between the angle 0 versus the imposed displacement for angles from 0 0 to 0-20 degrees using a resolution (or increment) of Idegree. (20 pts) 1.2 179 A flexible beam-like reflective component is used to guide a focused ray of light. When the beam is undeformed the light ray hits at mid-length of the beam and reflects directly back into the source of the light ray. The beam is to be deformed in such a way as to cause the light ray to be deflected by an angle e. The flexure inducing device is such that that both ends of the beam cannot rotate. Only the right hand end of the beam can deflect by some amount 8 (shown downward). Assume that the light ray incident point can be approximated as the centerline of the beam and that the shape of the deformed centerline of the beam can be described using a Hermite parametric cubic equation. Given that the length L of the flexible beam is 2 cm, compute the required displacement, 8, to cause an angle of reflection (0) equal to 10 degrees. Plot the relationship between the angle 0 versus the imposed displacement for angles from 0 0 to 0-20 degrees using a resolution (or increment) of Idegree. (20 pts) 1.2 179