Problem 3 F-10,000N- L=1m Consider a tapered bar of circular cross-section shown in the Figure. The length of the bar is 1 m, and the radius varies as r(x) = 0.060 -0.030x:, where r and x are in meters. Assume Young's modulus 150MPa. Both ends of the bar are fixed, and F= 10,000 N is applied at the center. Determine the displacements, axial force distribution, and wall reactions using 2,3,4 and 5 elements of equal length. To approximate the area of cross-section of a bar element, use the geometric mean of the end areas of the element. Compare the results.

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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.