Problem 2
A 180-lb bicycle and rider together have a
combined center of mass located at G as shown,
where $a = 23$ in., $b = 17$ in., and $c = 48$ in.
What is the minimum coefficient of kinetic
friction between the road and the tires so that
the rear wheel B just starts to lift off the ground,
but no actual rotation of the bike and rider
occurs, when the rider locks both brakes.
Neglect the mass of the wheels.
With that coefficient of friction, what is the
acceleration of the center of mass, the normal
force at each wheel, and the friction force at
each wheel.
a. $\mu_k =$
c. $N_B =$
e. $F_B =$
b. $a_G =$
d. $N_A =$
f. $F_A =$
G
A
B
b