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Core - Mechanical Engineering

    Chapter 2

    Force Vectors

    2.1 : Scalar and Vectors01:22

    2.1 : Scalar and 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 physical ...

    1.2K views
    2.2 : Vector Operations01:20

    2.2 : Vector Operations

    Vectors are physical quantities that have both magnitude and direction. The vector operations include addition, subtraction, and scalar multiplication. A ...

    1.2K views
    2.3 : Introduction to force01:25

    2.3 : Introduction to force

    Consider water flowing from a nozzle to a turbine vane. As the water hits the turbine vane, it exerts a force that causes it to move along the flow of ...

    470 views
    2.4 : Force Classification01:22

    2.4 : Force Classification

    Forces play a crucial role in the study of physics and engineering. They are essential in describing the motion, behavior, and equilibrium of objects in ...

    1.1K views
    2.5 : Vector Addition of Forces01:23

    2.5 : Vector Addition of Forces

    When understanding the effects of multiple forces acting on an object, vector addition is a crucial concept to grasp. This mathematical concept can be ...

    820 views
    2.6 : Two-Dimensional Force System01:20

    2.6 : Two-Dimensional Force System

    A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved ...

    871 views
    2.7 : Two-Dimensional Force System: Problem Solving01:29

    2.7 : Two-Dimensional Force System: Problem Solving

    Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector ...

    540 views
    2.8 : Scalar Notation01:28

    2.8 : Scalar Notation

    Scalar notation is a useful method for simplifying calculations involving vectors. When vectors are added or subtracted, their components can be added or ...

    652 views
    2.9 : Cartesian Vector Notation01:28

    2.9 : Cartesian Vector Notation

    Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations ...

    733 views
    2.10 : Direction Cosines of a Vector01:29

    2.10 : Direction Cosines of a Vector

    Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of vector ...

    464 views
    2.11 : Three-Dimensional Force System01:30

    2.11 : Three-Dimensional Force System

    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 z ...

    2.0K views
    2.12 : Three-Dimensional Force System:Problem Solving01:30

    2.12 : Three-Dimensional Force System:Problem Solving

    A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is ...

    625 views
    2.13 : Position Vectors01:29

    2.13 : Position Vectors

    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 is a ...

    796 views
    2.14 : Force Vector along a Line01:26

    2.14 : Force Vector along a Line

    Quite often in three-dimensional statics problems, the direction of a force is specified by two points through which its line of action passes. Consider a ...

    470 views
    2.15 : Dot Product01:29

    2.15 : Dot Product

    The dot product is an essential concept in mathematics and physics. In engineering, the dot product of any two vectors is the product of the magnitudes of ...

    292 views
    2.16 : Dot Product: Problem Solving01:21

    2.16 : Dot Product: Problem Solving

    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 and ...

    350 views
    2.17 : Cross Product01:25

    2.17 : Cross Product

    The cross product is a fundamental concept in vector algebra that is a vector operation on two different vectors to obtain a third vector. Unlike the ...

    224 views
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