Usually, choosing the point where the maximum number of unknown forces are present simplifies the solution. Z 0 The moment equations can be determined about any point. However, if the particle (ring) is in equilibrium, the equations. For example, The cable forces in the case of the ring shown in Fig. The equations of equilibrium can be used to determine unknown internal forces or support reactions in a problem. The equilibrium equation above is valid for any arbitrary volume and thus must hold in the limit that the volume is vanishingly small. These two vector equations can be written as six scalar equations of equilibrium (EofE). Equations 5.3 can be referred to as the scalar Cartesian equations of equilibrium. FREE-BODY DIAGRAMS, EQUATIONS OF EQUILIBRIUM & CONSTRAINTS FOR A RIGID BODY Today’s Objective: Students will be able to: a) Identify support reactions in 3-D and draw a free body diagram, and, b) apply the equations of equilibrium. We have chosen the standard coordinate system with positive \(x\) to the right and positive \(y\) pointing up, and resolved force \(A\) into components in the \(x\) and \(y\) directions. Also, if we want to write a scalar a as the sum of the square of the components of v, we can write a v iv i v 1v 1 +v 2v 2 +v 3v 3 v 2 1 +v 2 2 +v 2 3 (3). \) The sense of these components is unknown, so we have arbitrarily assigned the arrowheads pointing left and up.
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |