Nickzom Calculator Calculates the Center of Gravity of a Trapezium in Statics Mechanics

According to Quora,

The center of gravity of a trapezoid can be estimated by dividing the trapezoid in two triangles.

Nickzom Calculator calculates the centre of gravity of a trapezium with parallel sides a and b at a distance measured from side b.

The formula for calculating this center of gravity is:

C.G. = h (b + 2a) / 3 (b + a)

Where, a and b are the length of the parallel sides of the trapezium (b being the base length and a being the top length) whereas h is the height of the trapezium.

Let’s take for Example: Find the center of gravity or centroid of a trapezium where a is 4, b is 8 and h is 2.

This implies:

a = 4
b = 8
h = 2

C.G. = 2 (8 + 2(4)) / 3 (8 + 4)
C.G. = 2 (8 + 8) / 3 (12)
C.G. = 2 (16) / 36
C.G. = 32 / 36
C.G. = 0.89

Therefore, the center of gravity or centroid of the trapezium is 0.89.

To get the answer and workings to center of gravity or centroid of a trapezium. First, you need to obtain the Nickzom Calculator – The Calculator Encyclopedia app.

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