The total weight of the bicycle and rider is 160 lb. The location of their combined center...

The total weight of the bicycle and rider is 160 lb. The location of their combined center of mass is shown. The dimensions shown are b = 21 in, c = 16 in, and h= 18 in. What is the largest acceleration the bicycle can have without the front wheel leaving the ground? Neglect the horizontal force exerted on the front wheel by the road.

Strategy: You want to determine the value of the acceleration that causes the normal force exerted on the front wheel by the road to equal zero.