Chapter 12.1, Problem 12.67P

An advanced spatial disorientation trainer is programmed to only rotate and translate in the horizontal plane. The pilot’s location is defined by the relationships r = 8(1 − e^−t) and $\theta =2/\pi (\sin \frac{\pi }{2}t)$, where r, θ, and t are expressed in feet, radians, and seconds, respectively. Determine the radial and transverse components of the force exerted on the 175-lb pilot at t = 3 s.