The combined mass of the motorcycle and rider is 160 kg. The motorcycle starts from rest a...

The combined mass of the motorcycle and rider is 160 kg. The motorcycle starts from rest at t = 0 and moves along a circular track with a 400-m radius. The tangential component of acceleration of the motorcycle as a function of time is a1= 2 + 0.2t m/s2. The coefficient of static friction between the tires and the track is μs = 0.8. How long after it starts does the motorcycle reach the limit of adhesion, which means that its tires are on the verge of slipping? How fast is the motor cycle moving when that occurs?

Strategy: Draw a free-body diagram showing the tangential and normal components of force acting on the motorcycle.