A car has to move on a level turn of rad...

A car has to move on a level turn of radius 45 m. If the coefficient of static friction between the tire and the road is `mu_s=2.0,` find the maximum speed the car can take without skidding.

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AI Generated Solution

To find the maximum speed at which a car can take a turn without skidding, we can use the relationship between the forces acting on the car, the radius of the turn, and the coefficient of static friction. Here’s a step-by-step solution: ### Step 1: Understand the Forces Acting on the Car When a car is moving in a circular path, the following forces are acting on it: - The gravitational force (weight) acting downwards: \( F_g = mg \) - The normal force (\( N \)) acting upwards - The frictional force (\( F_f \)) acting towards the center of the circle, which provides the necessary centripetal force to keep the car moving in a circular path. ...

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the coefficient of friction between the rubber tyres and the roadway is 0.25 . Find the maximum speed with which a car can be driven round a curve of radius 20 m without skidding

`7 m//s`

`8 m//s`

`9 m//s`

`10 m//s`

A car is travelling along a curved road of radius r. If the coefficient of friction between the tyres and the road is mu the car will skid if its speed exceeds .

`2sqrt(murg)`

`sqrt(3murg)`

`sqrt(2murg)`

`sqrt(murg)`

A car is taking turn on a circular path of radius R. If the coefficient of friction between the tyres and road is mu , the maximum velocity for no slipping is

`muRg`

`2muRg`

`(muRg)^(1//2)`

`(2muRg)^(1//2)`