Dynamic

Jul 2008
179
1
Determine the maximum theoretical speed expected for a car, leaving the rest, covering a distance of 50m. The coefficient of static friction between tire and road is 0,80. Knowing that the front wheels bear 60% of the weight of the car and the back, the remaining 40%. Determine the speed (a) traction front (b)
traction back


Answer:
(a) 78,1 Km/h
(b) 63,8 Km/h
 

Deco

PHF Hall of Honor
Jul 2009
310
75
Given:

\(\displaystyle \mu_s = 0.80\)
\(\displaystyle \Delta x= 50\)
\(\displaystyle V_i = 0\)

Solution:

\(\displaystyle F_f = \mu mg\)
\(\displaystyle F = ma\)
\(\displaystyle F= F_f\)
\(\displaystyle a= \mu g\)

\(\displaystyle V_{ff}^2-V_i^2 = (2\mu g\Delta x)(0.6)\)
\(\displaystyle \boxed{V_ff = 78.1 \mbox {km/h}}\)

and

\(\displaystyle V_{fb}^2-V_i^2 = (2\mu g\Delta x)(0.4)\)
\(\displaystyle \boxed{V_fb = 63.75 \mbox {km/h}} \)
 
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