The x axis coordinate and the y axis coordinate of the centroid are having different types of calculations to calculate them.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

False
The x-axis and y-axis coordinates of the centroid are calculated using the same method and formula. The centroid, also known as the center of mass or center of gravity, is the point at which the entire mass of a body is considered to be concentrated.

Calculation of x-coordinate of the centroid:
To calculate the x-coordinate of the centroid, we need to consider the sum of the products of the individual masses and their corresponding x-coordinates. This can be represented by the formula:

x̄ = (m₁x₁ + m₂x₂ + ... + mₙxₙ) / (m₁ + m₂ + ... + mₙ)

Where:
x̄ - x-coordinate of the centroid
m₁, m₂, ..., mₙ - masses of individual points or sections
x₁, x₂, ..., xₙ - x-coordinates of individual points or sections

Calculation of y-coordinate of the centroid:
Similarly, to calculate the y-coordinate of the centroid, we consider the sum of the products of the individual masses and their corresponding y-coordinates. This can be represented by the formula:

ȳ = (m₁y₁ + m₂y₂ + ... + mₙyₙ) / (m₁ + m₂ + ... + mₙ)

Where:
ȳ - y-coordinate of the centroid
m₁, m₂, ..., mₙ - masses of individual points or sections
y₁, y₂, ..., yₙ - y-coordinates of individual points or sections

Conclusion:
Both the x-coordinate and y-coordinate of the centroid are calculated using similar formulas. The only difference lies in the consideration of the x-coordinates and y-coordinates of the individual points or sections. Thus, the statement that the x-axis and y-axis coordinates of the centroid have different types of calculations to calculate them is false.

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