Consider the following truss system. All bars are either vertical, horizontal, or at 60° from horizontal. Enter the force-balance matrix (B=A"): (in the form "joint 1 horiz", "joint 1 vert", "joint 2 horiz" etc.) -1 1 1 B= 1/2 sqrt3/2 1 (Remember that webwork uses radians for computations.) This truss system should be stable. The matrix is square, which is good. However, you should be able to verify that A has a pivot in each column of its LU decomposition. This means that it has no nullspace.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.