Fundamentals of Statics
Statics : The study of bodies at rest.
Force is a vector quantity (has magnitude and direction)
The direction of the resultant is always from the start point to the end point.
The resultant and equilibrant of any system of coplanar concurrent forces can be determined by drawing a polygon of forces or by resolving the forces into components and combining the components algebraically .
Given a force F acting at an angle ϴ to the horizontal :
Vertical component = F sin ϴ
Horizontal component = F cos ϴ
The algebraic sum of all components in any direction must be zero if the original forces are in equilibrium .
Force is a vector quantity (has magnitude and direction)
The direction of the resultant is always from the start point to the end point.
The resultant and equilibrant of any system of coplanar concurrent forces can be determined by drawing a polygon of forces or by resolving the forces into components and combining the components algebraically .
Given a force F acting at an angle ϴ to the horizontal :
Vertical component = F sin ϴ
Horizontal component = F cos ϴ
Moment = F * X
X is the horizontal distance from the pivot to the line of action of the force F .
The centroid is center of mass of a two-dimensional planar lamina or a three-dimensional solid.
The centroid of a symmetrical shape lies on the axis of symmetry .
For a triangle , the centroid is always 1/3 from the base and 1/3 from the longer part of the y-axis of the triangle.
Area under a parabola = 1/3 * base *height
The centroid of the area under a parabola is 3/4 from the y-axis
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