Max Velocity for Car to Turn Over When Skidding Sideways

AI Thread Summary
The discussion focuses on determining the maximum velocity at which a cube-shaped car, with a side length of 2 meters, can skid sideways and still turn over when hitting a curb. It emphasizes the importance of calculating the work done by the car's weight as it rotates about the contact point with the curb, using the work-energy theorem. The necessary equation involves integrating the torque due to weight over the angle of rotation. The conversation highlights that initial calculations may be incorrect and require reevaluation. Understanding these dynamics is crucial for accurately predicting the skidding behavior of the car.
marsm
Messages
2
Reaction score
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
 
Last edited by a moderator:
Physics news on Phys.org
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

W = \int \tau _{weight} \ d\theta

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

My initial calculation was quite wrong, obviously.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Is it Possible to Turn a Car Without Skidding?
Replies
1
Views
2K
Tyres of a car lifting when turning left sharply....
Replies
6
Views
2K
Velocity of a Car Skidding: Solving for Maximum Speed on a Circular Turn
Replies
7
Views
4K
How Fast Must a Car Go to Clear a 12m Loop and What Are the Max G-Forces?
Replies
7
Views
6K
Damped oscillation of a car on a road: velocity calculation
Replies
11
Views
2K
What Is the Maximum Speed a Car Can Turn Without Skidding?
Replies
2
Views
8K
Max spped for a car to go around a curve track without skidding confusing
Replies
2
Views
10K
What causes a car to skid outwards on a circular turn?
Replies
1
Views
1K
Minimum safe height for a roller coaster
Replies
10
Views
5K
Minimum Speed for Stunt Car Jump over Parked Cars
Replies
2
Views
17K

Hot Threads

Recent Insights

Back
Top