Each of the two wheels of a motor bike have a mass of mw = 10kg, radius of rw = 330 mm, and radius of gyration kw = 0.25 m. Amotor bike and rider with a total mass of m = 206 kg travels rounda bend of radius R = 80 m at a speed of 135 km/h. The enginerotates in the same sense as the wheels and at four times theirspeed. The engine rotating parts have mass of me = 12 kg and radiusof gyration ke = 0.08 m. The combined center of gravity of thecycle and the rider is 0.7 m. Determine Â
1.1 the angle of banking of the track for a smooth ride withoutslip
