Question

Problem 64

Answer 1

Given information

We are given that,

The angle of the inclined plane (your driveway) ,  

The angle of inclined plane (Neighbor’s driveway) ,  

The angle of inclined plane (Driveway which is across the street) ,

Coefficient of static friction between tire rubber and ice .  

 

Step-by-step explanation

Step 1.

First we draw the free body diagram:-

The force of friction is given by:-

 

Where is the frictional force and is the normal force,  

 

Now the equation of motion can be written as:-

 

 

 

Since, it is required that the car does not slide down, therefore:

that means the forces are balanced, so:

  

 

    

 

we get:-

 

 

 

 

   

 

This means that if the inclination angle is greater than , the car will begin to slide.

 

So the driveway across the street is inclined at an angle of , must be chosen for parking the car.