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Problem: A car is traveling in a circle of a radius of 50 meters, on the surface the coefcient of static friction between the car's tires and the road is .3. With a banking angle of 30 degrees.

(I attached a diagram)

So heres whats known:

Radius: R=50 m

Coeffcient of Static Friciton: us=.3

Bank angle theta: T=30 deg

First find: Maximum velocity.

I found this by knowing...

Sum of Fx: m(v^2/r)=NsinT+UsNcosT

Sum of Fy: NcosT-UsNsinT-mg

I find by Equation = Square root of{[rg (sinT+UsCost)]/CosT-(.3 x sinT)}

IT results in Vmax= 22.8 m/s

(here is where I found that equation)

PART 2

Find the apparent weight (hint apparent wieght = Fn)

This the part I'm struggling with.

So i use my Sum of Fx to find N ;

m(v^2/r)=NsinT+UsNcosT=

m(v^2/r)=(mgcosT)sinT+Us(mgcosT)cosT

m(v^2/r)=m[(gcosT)sinT+Us(gcosT)cosT]

then I get nowhere because I divide through by M, and I need to find M or N itself and its practically impossible with just this information....

please help if you can.. any help is apreciated..

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# Homework Help: Banked Curves in involving frictions

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