Composition of Concurrent Forces
Composition of Concurrent Forces
Abstract— The experiment aims to show the relationship of different forces acting at the same time by using different variables namely, the equilibrant force, the resultant, and the given forces Fa and Fb. The equilibrant force is the force that establishes equilibrium while the resultant is the addition of the given forces and is also the opposite of the equilibrant. The objective of the experiment is to determine the resultant of two forces experimentally, to be checked by using its components and graphically adding the forces. The resultant obtained by component and graphically adding the vectors was approximately close to the resultant obtained experimentally. Though the results were close to each other, the different methods still resulted to slight differences. It is suggested that different approaches be used to give the most precise value.
Introduction
* The objective of the experiment is to determine the force which balances two other forces using the Force Table- this force is other wise known as the equilibrant force. In the experiment, the addition of the two forces was the resultant. The resultant should be equal to the equilibrant but opposite in direction. There are two methods of adding vectors, by graphically adding the vectors or by using vector components. Graphically adding vectors was possible by using a scaled vector diagram and applying the head-to-tail method (polygon method) and parallelogram method to get the resultant. The graph had to be scaled in order to accurately represent the vector. The vector, which is directed in two dimensions, has two components that have different amount of influence. The amount of influence in a given direction can be solved by using trigonometric functions, which is then used to get the resultant or the addition of the forces.
Methodology
In this experiment, a Force Table, ring, string, three pulleys and pulley clamps, three mass hangers, mass set, metric ruler
Abstract— The experiment aims to show the relationship of different forces acting at the same time by using different variables namely, the equilibrant force, the resultant, and the given forces Fa and Fb. The equilibrant force is the force that establishes equilibrium while the resultant is the addition of the given forces and is also the opposite of the equilibrant. The objective of the experiment is to determine the resultant of two forces experimentally, to be checked by using its components and graphically adding the forces. The resultant obtained by component and graphically adding the vectors was approximately close to the resultant obtained experimentally. Though the results were close to each other, the different methods still resulted to slight differences. It is suggested that different approaches be used to give the most precise value.
Introduction
* The objective of the experiment is to determine the force which balances two other forces using the Force Table- this force is other wise known as the equilibrant force. In the experiment, the addition of the two forces was the resultant. The resultant should be equal to the equilibrant but opposite in direction. There are two methods of adding vectors, by graphically adding the vectors or by using vector components. Graphically adding vectors was possible by using a scaled vector diagram and applying the head-to-tail method (polygon method) and parallelogram method to get the resultant. The graph had to be scaled in order to accurately represent the vector. The vector, which is directed in two dimensions, has two components that have different amount of influence. The amount of influence in a given direction can be solved by using trigonometric functions, which is then used to get the resultant or the addition of the forces.
Methodology
In this experiment, a Force Table, ring, string, three pulleys and pulley clamps, three mass hangers, mass set, metric ruler
References: * * 1. Physics Laboratory Experiments 4th Edition, Jerry D. Wilson @ 1994 D.C. Heath and Company; Lexington, Massachusetts * 2. Laboratory Manual In Conceptual Physics 2nd Edition, Bill W. Tillery @ 1995 Wm. C. Brown Communications, Inc. Dubuque, IA * 3. Laboratory Experiments in College Physics 7th Edition, Cicero H. Bernard, Chirold D. Epp @ 1995, John Wiley and Sons, Inc. New York * 4. Author unknown, Vectors: Motion and Forces in Two Dimensions, (http://www.physicsclassroom.com), 24 July, 2013. *