An advanced spatial disorientation trainer allows the cab to rotate aroundmultiple axes, as well as to extend inward and outward. It can be used tosimulate driving, fixed-wing aircraft flying, and helicopter maneuvering. In one training scenario, the trainer rotates and translates in the horizontal plane, where the location of the pilot is defined by the relationshipsr = 10 + 2 cos(_π3 t) and θ = 0.1(2t2− t), where r, θ, and t are expressedin feet, radians, and seconds, respectively. Knowing that the pilot has aweight of 175 lbs, (a) determine the magnitude of the resulting force acting on the pilot at t = 5 s,
(b) plot the magnitudes of the radial and transverse components of the force exerted on the pilot from 0 to 10 seconds.