Chapter 2
Force Vectors
In mechanics, commonly used terms like force, speed, velocity, and work can be classified as either scalar or vector quantities. A scalar is a…
Vectors are physical quantities that have both magnitude and direction. The vector operations include addition, subtraction, and scalar…
Forces play a crucial role in the study of physics and engineering. They are essential in describing the motion, behavior, and equilibrium of objects…
When understanding the effects of multiple forces acting on an object, vector addition is a crucial concept to grasp. This mathematical concept can…
Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector…
Scalar notation is a useful method for simplifying calculations involving vectors. When vectors are added or subtracted, their components can be…
Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of…
In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and…
A position vector is a fundamental concept in mathematics that helps determine the position of one point with respect to another point in space. It…
Quite often in three-dimensional statics problems, the direction of a force is specified by two points through which its line of action passes.…
The dot product is a powerful tool in problem-solving involving vectors, given that the dot product of two vectors is the product of their magnitudes…
In this paper, we present a complete workflow for the biomechanical analysis of atherosclerotic plaque in the coronary vasculature. With…
A neuron will fire an action potential when its membrane potential exceeds a certain threshold. In typical activity of the brain, this occurs as a…