Axis of Reference, Axis of Symmetry and Axis of Symmetry for different shapes in the context of Centroid is explained with following timestamps:

0:00 – Mechanics of Solid Lecture series
0:13 – Outlines on the session
0:29 – Axis of Reference
2:18 – Axis of Symmetry
4:38 – Axis of Symmetry for different shapes

Following points are covered in this video:
1. Axis of Reference
2. Axis of Symmetry
3. Axis of Symmetry for different shapes

Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Mechanics of Solids or Engineering Mechanics.

#AxisOfReference, #AxisOfSymmetry, #Equation #MechanicsOfSolids, #EngineeringFunda

Details of Axis of Reference, Axis of Symmetry and Centroid of Gravity of Composites:

When dealing with composites, which are objects made up of multiple materials, it is often necessary to determine their centroid and center of gravity. This requires defining an appropriate axis of reference and taking into account any axes of symmetry that the composite may have.

The axis of reference is a line or plane used to orient the composite and define the directions of the forces and moments acting on it. The choice of axis of reference can greatly simplify the analysis of a composite by reducing the number of variables and equations that need to be considered.

The axis of symmetry is a line or plane through the composite that divides it into two or more parts that are mirror images of each other. This means that the properties of the composite, such as its mass, volume, and moment of inertia, are the same on either side of the axis of symmetry. The presence of an axis of symmetry can greatly simplify the analysis of a composite by allowing one to exploit the symmetry of the problem and reduce the number of variables and equations that need to be considered.

To determine the centroid and center of gravity of a composite, one can use the principle of moments, which states that the net moment of a system of forces and moments must be equal to zero about any point. By choosing an appropriate axis of reference and taking into account any axes of symmetry that the composite may have, one can calculate the centroid and center of gravity of the composite and predict its behavior and stability.

The centroid of a composite is the point at which the geometric center of the composite is located. It is also the average position of all the points in the composite, weighted by their areas or volumes. The centroid is an important property of a composite, as it determines the location of the resultant force and moment acting on it.

The center of gravity of a composite is the point at which the weight of the composite appears to be concentrated. It is also the point at which a single force could be applied to the composite to produce the same net effect as the actual forces that are acting on it. The center of gravity is an important property of a composite, as it determines its stability and the direction in which it will tend to move under the action of external forces.

Overall, the determination of the axis of reference, axis of symmetry, centroid, and center of gravity of a composite is an important part of the analysis of composites, and it requires a good understanding of the principles of statics and dynamics, as well as the mathematical and computational tools used to solve these problems.