Given:
car is parked ouphill on a sloped street.
To draw the free body diagram.
Step-by-step explanation:
he ffree-bodydiagram of the car is shown below.
Here, W is the force due to gravity which is its weight.
There is a frictional force, f acting towards the slope.
N is the normal force.
The car will remain at rest if no force is acting on the body.
The weight can be resolved into sine and cosine components.
The horizontal component of weight cancels out the normal force and the vertical component of weight cancels the frictional force.
Thus, the car is at rest as no net force is acting on it.