The "center of gravity" for a volume, an area or a line - is the point at which the body - if suspended - would be in balance.
For a symmetrical body in a uniform material - the center of gravity would be in the geometric center.
The center of gravity is the center of the circle inscribed in triangle ABC (middle points of the sides of the triangle).
The distance d can be calculated as
d = h (b + c) / 2 (a + b + c) (1)
The center of gravity of a triangle is at the intersection of lines BE and AD. The distance a can be calculated as
a = h / 3 (2)
The center of gravity of a parallelogram is at the intersection of the diagonals.
The center of gravity of a trapezoid can be estimated by dividing the trapezoid in two triangles. The center of gravity will be in the intersection between the middle line CD and the line between the triangles centers of gravity.
The center of gravity of two bodies can be calculated as
b = Q a / (P + Q) (3a)
c = P a / (P + Q) (3b)
Q, P = weight or mass of the bodies (N, kg, lb, slugs)
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
Engineering related topics like Beaufort Wind Scale, CE-marking, drawing standards and more.
Loads - forces and torque, beams and columns.
Acceleration of gravity and Newton's Second Law - SI and Imperial units.
Typical cross sections and their Area Moment of Inertia.
Buoyancy is the resultant force acting on a submerged body.
Calculate position of center mass.
Stability - the center of gravity vs. the center of buoyancy.
Newton's third law - force vs. mass and acceleration.
Calculate the thrust force acting on a submerged surface.
Mass vs. weight - the Gravity Force.
Verifying square corners.
Areas of regular polygons - polygons with 3 to 12 sides.
Right angled triangle equations.
Convert between Elastic Section Modulus units.
Triangle analytical geometry.
Gravitational attraction between two objects vs. mass of the objects and the distance between them.