Questions: Problem 6: (7% of Assignment Value) Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. - Part (a) v Find the y-component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. FK, y=FN cos(θ) Correct! Part (b) Find the x-component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. FN x x=

Transcript text: Problem 6: ( $7 \%$ of Assignment Value) Circular turns of radius $r$ in a race track are often banked at an angle $\theta$ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. - Part (a) $\boldsymbol{v}$ Find the $y$-component of the normal force $F_{\mathrm{N}}$ on a car going around the turn in terms of the angle $\theta$ and the magnitude of the normal vector $F_{\mathrm{N}}$. \[ F_{\mathrm{K}, \mathrm{y}}=\mathrm{F}_{\mathrm{N}} \cos (\theta) \] $\checkmark$ Correct! Part (b) Find the $x$-component of the normal force $F_{\mathrm{N}}$ on a car going around the turn in terms of the angle $\theta$ and the magnitude of the normal vector $F_{\mathrm{N}}$. \[ F_{\mathrm{N} x \mathrm{x}}= \]