Chapter 2
Force Vectors
![Scalar and Vectors](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14363.jpg)
In mechanics, commonly used terms like force, speed, velocity, and work can be classified as either scalar or vector quantities. A scalar is a…
![Vector Operations](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14225.jpg)
Vectors are physical quantities that have both magnitude and direction. The vector operations include addition, subtraction, and scalar…
![Force Classification](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14227.jpg)
Forces play a crucial role in the study of physics and engineering. They are essential in describing the motion, behavior, and equilibrium of objects…
![Vector Addition of Forces](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14228.jpg)
When understanding the effects of multiple forces acting on an object, vector addition is a crucial concept to grasp. This mathematical concept can…
![Two-Dimensional Force System: Problem Solving](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14230.jpg)
Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector…
![Scalar Notation](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14231.jpg)
Scalar notation is a useful method for simplifying calculations involving vectors. When vectors are added or subtracted, their components can be…
![Direction Cosines of a Vector](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14233.jpg)
Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of…
![Three-Dimensional Force System](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14234.jpg)
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…
![Position Vectors](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14236.jpg)
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…
![Force Vector along a Line](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14237.jpg)
Quite often in three-dimensional statics problems, the direction of a force is specified by two points through which its line of action passes.…
![Dot Product: Problem Solving](https://cloudfront.jove.com/files/media/science-education/science-education-thumbs/14239.jpg)
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…
![Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression](https://cloudfront.jove.com/files/thumbs/62933_t.png)
In this paper, we present a complete workflow for the biomechanical analysis of atherosclerotic plaque in the coronary vasculature. With…
![External Excitation of Neurons Using Electric and Magnetic Fields in One- and Two-dimensional Cultures](https://cloudfront.jove.com/files/thumbs/54357_t.png)
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…