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14.
REASONING
At the maximum speed, the maximum centripetal force acts on the
tires, and static friction supplies it.
The magnitude of the maximum force of static
friction is specified by Equation 4.7 as
MAX
ss
N
f
F
µ
=
, where
s
is the coefficient of
static friction and
F
N
is the magnitude of the normal force.
Our strategy, then, is to
find the normal force, substitute it into the expression for the maximum frictional
force, and then equate the result to the centripetal force, which is
2
c
/
Fm
v
r
=
,
according to Equation 5.3.
This will lead us to an expression for the maximum
speed that we can apply to each car.
SOLUTION
Since neither car accelerates in the vertical direction, we can conclude
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This note was uploaded on 01/29/2010 for the course CALC 01:640:135 taught by Professor Soffer during the Spring '08 term at Rutgers.
 Spring '08
 SOFFER

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