Question

A car with a weight of 1.76 X 10^4 N rests on the ramp of a trailer. The car's brakes and transmission lock are released; only the cable prevents the car from rolling backward off the trailer. The ramp makes an angle of 25.0 degrees with the horizontal.

A) Draw a free body diagram for the car. Use Newston's 2nd law to write the force equations for the car on the ramp.

B) Find the tension in the cable holding the car. Find the force with which the ramp pushes on the car's tires. What is this force called?

C) If the cable holding the car were removed what would happen? Draw a free body diagram for this case and develop the force equations to describe the result for the car.

Answer 1

Given is :-

weight of the car  

Part-a

Free body diagram of the given problem is shown below:

Now

The car is in equilibrium, so we first find the components of each force.

Now

and

Finally , intersting the numerical values

and  

and

Part-c

If the cable holding the car is removed then the car will roll back and the trailer will move forward accoring to the Newton's third law of motion.