Max Velocity for Car to Turn Over When Skidding Sideways

In summary, the discussion is about an idealized car skidding towards a curb and the maximum velocity it must have to turn over. The weight of the car does work while it rotates, causing the rotational speed to decrease. To calculate the work done, the equation W = \int \tau _{weight} \ d\theta must be used and the angle must be checked to be more than forty five degrees using the work-energy theorem.
  • #1
marsm
2
0

Homework Statement



An idealised car (meaning: a cube with a = 2m) skids sideways toward a curb (height of the curb doesn't matter). At which maximum velocity v must it skid to just about turn over?

Sorry, but the forum didn't generate the TeX for me, so here it is on mathbin.net:

http://www.mathbin.net/11540
 
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  • #2
The weight of the car does work while it is rotating about the contact point with the curb. This means that the rotational speed will decrease as it turns over. The work done by it will also change during the rotation. So you have to use

[tex]W = \int \tau _{weight} \ d\theta[/tex]

to calculate the work done and check if the angle is more that fourty five degrees (work-energy theorem).
 
Last edited:
  • #3
Thank you very much, andrevdh, that was a great help!

My initial calculation was quite wrong, obviously.
 

1. What is "Max Velocity for Car to Turn Over When Skidding Sideways"?

"Max Velocity for Car to Turn Over When Skidding Sideways" refers to the maximum speed at which a car can safely turn without losing control and flipping over when it is skidding sideways. This is an important safety consideration for drivers, especially when driving on slippery or icy roads.

2. How is the "Max Velocity for Car to Turn Over When Skidding Sideways" determined?

The "Max Velocity for Car to Turn Over When Skidding Sideways" is determined by a combination of factors, including the weight and distribution of the car, the tire grip, and the road conditions. It can also vary depending on the type of car and its handling capabilities.

3. Why is it important to know the "Max Velocity for Car to Turn Over When Skidding Sideways"?

Knowing the "Max Velocity for Car to Turn Over When Skidding Sideways" can help drivers understand the limits of their car and make informed decisions while driving. It can also help prevent accidents and ensure the safety of both the driver and passengers.

4. Can the "Max Velocity for Car to Turn Over When Skidding Sideways" be increased?

Yes, the "Max Velocity for Car to Turn Over When Skidding Sideways" can be increased by improving the handling and grip of the car, for example by installing better tires, or by driving on roads with better traction. However, it is important to always drive within safe limits to avoid accidents.

5. How can I determine the "Max Velocity for Car to Turn Over When Skidding Sideways" for my car?

The best way to determine the "Max Velocity for Car to Turn Over When Skidding Sideways" for your car is by consulting the owner's manual or contacting the car manufacturer. You can also experiment with your car on safe and controlled driving conditions to get a better understanding of its handling capabilities.

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