Maximize Car Speed on Banked Track: Frictional Force Problem Solution

AI Thread Summary
To determine the maximum speed of a car on a banked track with a radius of 100m and a banking angle of 30 degrees, the static friction coefficient of 0.8 is crucial. The gravitational force and frictional force must be analyzed to ensure the car does not skid. The discussion highlights the need for a clear breakdown of the forces involved, including centripetal force and the components of gravitational force. A reference to a helpful online resource simplifies the calculations and enhances understanding. Ultimately, a thorough grasp of the physics principles is essential for solving the problem effectively.
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Homework Statement



A car is driven around a track of radius R=100m which is banked at 30degrees to the horizontal. If the coefficients of static friction between the wheels and the road is Us=0.8, find the maximum speed for the car to stay on the road without skidding sideways.


Homework Equations



g = 9.8m/s^2.

The Attempt at a Solution



Not a clue. Please don't just say split it into comppnets etc... I really don't now how to do this so will need it really explaining to me. Thanks
 
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thats great. thanks i can suddenly do it.
 
Yeah - nice little java thing where you enter one value, and all the others instantly appear. :smile:
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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