Download Problem 18.9 The combined mass of the motorcycle and rider is 160

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Problem 18.9 The combined mass of the motorcycle
and rider is 160 kg. The rear wheel exerts a 400-N
horizontal force on the road, and you can neglect the
horizontal force exerted by the front wheel. Modeling
the motorcycle and its wheels as a rigid body, determine (a) the motorcycle’s acceleration and (b) the normal forces exerted on the road by the rear and front
wheels.
660 mm
A
B
660 mm
1500 mm
Solution: The friction force on the rear wheel is F = 400 N. From
Newton’s second law, the acceleration is
a=
F
400
=
= 2.5 m/s2 .
m
160
The sum of the forces in the y direction is
660 mm
Fy = NA + NB − mg = 0.
660
mm
1500 mm
The moment about the center of mass is
MCM = −0.66NA + (1.5 − 0.66)NB + 0.66(400) = 0.
Solve these two equations in two unknowns:
NA = 1055 N ,
NB = 514.6 N
F
mg
NA
NB
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