Chapter 2: Space Curves

Section 2.9: Applications to Dynamics

Example 2.9.3

$$ Find the force of friction required to keep a car on a circular track of radius 300 ft if the car weighs 3200 lbs and travels at the constant speed of 200 ft per second. $$ Solution $$ Make the substitutions $m\=3200\/32$ slugs, $\mathrm{\κ}\=1\/300$, $v\=200$ ft/s, and $\stackrel{\.}{v}\=0$ into   $\mathbf{F}\=m a\=m \left(\stackrel{\.}{v} \mathbf{T}\+\mathrm{\κ} v^2 \mathbf{N}\right)$   to get $\mathbf{F}\=100\left(0\+\frac{{\left(200\right)}^2}{300}\mathbf{N}\right)\=\frac{40000}{3}\mathbf{N}$, where N is radially inwards toward the center of the circle. The units are foot-pounds. $$

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