Examples based on Co-planar Non concurrent forces is solved with following timestamps:
0:00 – Mechanics of Solid Lecture series
0:08 – Outlines on the session
0:15 – Examples based on Co-planar Non concurrent forces
Following points are covered in this video:
1. Examples based on Co-planar Non concurrent forces
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Details of Co-planar Non concurrent forces:
Co-planar non-concurrent forces are a system of two or more forces that lie in the same plane and do not meet at a single point. This means that the lines of action of the forces are not concurrent, or do not intersect at a common point.
When dealing with co-planar non-concurrent forces, it is important to consider both their magnitudes and directions, as well as the positions and orientations of the forces relative to each other. In order to analyze such a system, one can use the principles of vector addition and resolution, as well as the graphical methods of force polygons and free body diagrams.
To determine the net effect of a system of co-planar non-concurrent forces, one can use the principle of equilibrium, which states that the net force and net moment of the system must be equal to zero. This means that the sum of the forces in the x-direction, y-direction, and z-direction (if applicable) must be zero, and the sum of the moments about any point in the plane must also be zero.
The resolution of the forces can be done by determining their components in the x and y directions (and z direction if applicable), using trigonometry. Once the forces have been resolved, they can be added or subtracted vectorially to determine the resultant force or moment.
Overall, co-planar non-concurrent forces are an important concept in mechanics, and they are encountered in many practical situations, such as the design and analysis of structures and machines, the study of fluid dynamics, and the modeling of various physical phenomena.