A car of weight 8500N is traveling at a constant speed along a road that is an arc of a circle. In order that the car may travel more easily round the arc, the road is banked at 14 degrees to the horizontal.
At one particular speed v of the car there is no frictional force at 90 degrees to the direction of travel of the car between the tires and the road surface. The reaction force of the road on the car is R (in the diagram R looks like normal force in a ramp problem).
a. Deduce that the horizontal component of the force R is approximately 2100N.
b. State the magnitude and direction of the resultant force acting on the car
c. Determine the speed v of the car at which it travels round the arc of radius 150 m without tending to slide.
The Attempt at a Solution
I'm really confused about how to do this and I need it for my study guide so that I can start studying. I know that for A I have to use sine and cosine but I'm not sure how. I would really appreciate an explanation of how to do this, number A is the most important to understand (to quote my teacher) and I'm not even sure how to get it.