As shown in the figure, a 10,000 kg aircraft climbs at an angle of 30 degrees. The thrust T = 180 kN, the aircraft speed is 300 km/hr, and its acceleration is 1 m/s². If the radius of curvature of the path is 20 km (i.e. theta is decreasing), compute the lift force (in kN) on the aircraft.

To minimize the “centrifugal effects” on bends, major roads are usually constructed with super-elevation (or camber) as shown in the figure below. If the camber’s slope is 4 degrees and the radius of curvature of the bend is 300 m, determine the speed (in m/s) of the vehicle at which no lateral force (tangential to the slope) is needed to maintain the vehicle’s path around the bend.