Remember that the normal force contributes to the apparent weight of an object - how heavy the object feels. examples, the displacement variable associated with each mass was expressed. The free body diagram for the bottom of the loop (in the image above) gives us a net force equation of Fnet = Fn - Fg. This means that at the top, the car (and the person in it) experienced an apparent weight that is less than their actual weight, so they felt lighter than they actually are. At the top of the loop, the normal force and gravity were pointing in the same direction, but since the centripetal acceleration in uniform motion is constant, the normal force actually had a smaller magnitude than the gravitational force. Since the normal force is greater than the gravitational force, a person on the car at the bottom of the loop will feel heavier than they actually are. Remember that the normal force contributes to the apparent weight of an object - how heavy the object feels. Although it is not depicted in the picture, the normal force is the net force on the car, so its magnitude is greater than that of the weight of the car to produce a net force. The free body diagram above depicts the roller coaster at the bottom of the loop, where Normal Force is pointed upwards, toward the center of the circle, and the gravitational force is pointed downwards. For example, in the case of a planet orbiting the sun, the gravitational force is the centripetal force, so it will point towards the center of the circle no matter where in the orbit the planet is. The centripetal force will always point toward the center of the circle, but you may be surprised to find that the gravitational force will not always point downwards. From there, you can create your coordinate system and break down any forces that are not aligned with your coordinate system into x and y components. Your positive x or y axis should always be in the direction of the centripetal force, toward the center of the circle. The first step in drawing a free body diagram for an object in uniform circular motion is to select an appropriate coordinate system. Drawing a free body diagram for an object this way can be useful to more specifically analyze the motion of an object. The applied force (F_a) on the box could be a rope that is pulling on the box at the center of its right side, which is why the applied force vector is placed on the right side of the box. The normal force of the floor on the box is acting at the point where the box meets the floor. The weight of the box (W) is acting at the center of mass of the box, where the weight force always acts on an object. In this image, the force of static friction is acting at the point where the box meets the floor, and that is where it is drawn.
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