# physics

posted by .

A car moves with speed v on a horizontal circular track of radius R. The height of the car's center of mass is h, and the separation between the inner and outer wheels is d. The road is dry, and the car does not skid. Find the maximum speed the car can have without overturning.

• physics -

acceleration = v^2/R
side force = m v^2/R
overturning moment = m v^2 h/R
righting moment = m g d/2
so
m g d/2 = m v^2 h/R
v^2 = g d R /(2h)
v = sqrt [ g d R / (2 h) ]

• physics -

Consider the moment about the wheels farthest from the center of the track. If the car is about to top over, there will be no weight or friction force on the inside wheels.
Imageine that you al=re lookng at the car head-on and considere the moments acting on it.
The moment due to the car's weight
M g d/2 will be equal to the oppositely directed moment due to the centripetal force acting through the center of mass,
M V^2 h/R

Therefore V^2 = g d R/(2h)
That will tell you the maximum stable velocity, V

## Similar Questions

1. ### PHYSICS

super easy (I think) but I must be missing some concept... A race car starts from rest on a circular track. The car increases its speed at a constant rate at as it goes 5.00 times around the track. Find the angle that the total acceleration …
2. ### Physics

A car starts from rest and travels along a circular track with a radius of 55.0 meters. The car starts out at a position due East of the center of the track, heading due North initially around the track, which is counterclockwise. …
3. ### physics

A car starts from rest and travels along a circular track with a radius of 55.0 meters. The car starts out at a position due East of the center of the track, heading due North initially around the track, which is counterclockwise. …
4. ### physics

A race car starts from rest on a circular track. The car increases its speed at a constant rate at as it goes 2.75 times around the track. Find the angle that the total acceleration of the car makes with the radius connecting the center …
5. ### Physics

A car moves with a speed v on a horizontal circular highway turn of radius is R = 100. Assume the height of the carâ€™s center of mass above the ground is h = 1 m, and the separation between its inner and outer wheels (car's width) …
6. ### PHYSICS

A car is traveling around a circular banked road without friction which is inclined at 24 degrees. When the car is traveling at 18.2 m/s around the road, it is moving at the bottom on the incline (inner radius of the road when viewed …
7. ### physics

A car is traveling around a circular banked road without friction which is inclined at 72 degrees which has a vertical height of 25 meters. When the car is traveling at 16 m/s around the road, it is moving at the bottom on the incline …
8. ### Physics

A car with a mass of 900 kg moves along a road at a 89 km/hour at equal speed. On the road is a curve with a radius of 250. a) What is the force in the curve between the tires and the road if the road is horizontal?
9. ### Physics

A 1550 -kg car moves on a horizontal curved road. If the radius of the curve is 46 m and the coefficient of friction between the tires and road is 0.1, find the maximum speed the car can have so that it may not skid.
10. ### Physics

A car moves on a level horizontal road in a circle of radius 30.5 m. the coefficient of friction between the tires and the road is 0.5. The maximum speed with which the car can round this curve without slipping is:

More Similar Questions

Post a New Question