A highway curves to the left with radius of(adsbygoogle = window.adsbygoogle || []).push({});

curvature R = 46 m. The highway’s surface

is banked at θ = 26 so that the cars can take

this curve at higher speeds.

Consider a car of mass 1018 kg whose

tires have static friction coeﬃcient µ = 0.57

against the pavement.

The acceleration of gravity is 9.8 m/s/s.

Ho fast can the car take this curve without skidding to the outside of the curve?

Answer in units of m/s.

Here is a link for the picture: https://quest.cns.utexas.edu/student/assignments/problem_pdf?courseuserassignment=10797960

It is question #4.

I tried to do this by setting the equations for Normal Force and Frictional Force equal and solving for V.

Therefore I got,

{ (v2/R)cos(theta) - mgsin(theta) } = { u (v2/R)*sin(theta) + mgsin (theta))

However, I am unable to get the correct answer.

Help is needed as soon as possible. Thank you.

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# Homework Help: Centripetal Force

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