Problems involving two objects, connecting strings and pulleys are characterized by objects that are moving (or even accelerating) in different directions. The pulley has changed the direction that the force is exerted. The string pulls upward on object A and rightward on object B. As such, the string connecting the two objects is pulling on both objects with the same amount of force, but in different directions. This end of the string pulls rightward upon object B. The opposite end of the string is connected to object B. According to Newton's law of action-reaction, this lower end of the string will pull upward on object A. In this situation, Object A will fall downward under the influence of gravity, pulling downward on one end of the string that it is connected to. Object A is suspended in mid-air while object B is on the table. The string is wrapped around a pulley at the end of a table. Object A is connected to object B by a string. As an illustration of how a pulley works, consider the diagram at the right. The string is wrapped around a pulley that changes the direction that the force is exerted without changing the magnitude. In these problems, the two objects are connected by a string that transmits the force of one object to the other object. In this lesson we will analyze two-body problems in which the objects are moving in different directions. This page will build upon the lessons learned earlier in the Newton's Laws unit. If necessary, take the time to review the page on solving two-body problems. The second strategy involved the use of two individual object analyses in order to develop a system of two equations for solving for the two unknown quantities. One strategy for solving two-body problems involves the use of a system analysis to determine the acceleration combined with an individual object analysis to determine the force transmitted between the objects. Such two-body problems typically involve solving for the acceleration of the objects and the force that is acting between the objects. A pair of problem-solving strategies were discussed and applied to solve three example problems. In the Newton's laws unit, the topic of two-body problems was introduced.
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