If we are solving for force and end up with units of millimeters per second, then we have made a mistake. Then, you have the following equations: Fx max, Fy may. Generally, just write Newton’s second law in components along the different directions. Another way to check a solution is to check the units. It is almost always convenient to make one axis parallel to the direction of motion, if this is known. In practice, intuition develops gradually through problem solving with experience, it becomes progressively easier to judge whether an answer is reasonable. For example, it is reasonable to find that friction causes an object to slide down an incline more slowly than when no friction exists. Sir Isaac Newton, born on January 4, 1643, was a scientist, mathematician, and astronomer.Newton is regarded as one of the greatest scientists who ever lived. In some cases, it is easy to tell whether the solution is reasonable. (If, for example, the system is accelerating horizontally, then you can then set ay = 0.) We need this information to determine unknown forces acting on a system.Īs always, we must check the solution.
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