CalculateTheCenterOFFloatation.cpp

#include <iostream>

using namespace std;
#define N 10

void takeOrdinateFromInput(float * ordinate)
{
    for(int i = 0; i < N;i++)
    {
        cout<<"Enter "<<i+1<<"th value : ";
        cin>>ordinate[i];
    }
}
void smValueInitialize(float * sm)
{
    sm[0] = 1;
    sm[1] = 3;
    sm[2] = 3;
    sm[3] = 2;
    sm[4] = 3;
    sm[5] = 3;
    sm[6] = 2;
    sm[7] = 3;
    sm[8] = 3;
    sm[9] = 1;
}

float calculateAreaSum(float * ordinate, float * sm)
{
    float area = 0;
    for(int i = 0; i < N; i++)
    {
        area += ordinate[i] * sm[i];
    }

    return area;
}


float calculateTotalArea(float areaSum,double h)
{
    return (3*h*areaSum)/8;
}

float calculateMomentSum(float* ordinate, float * sm)
{
    float momentSum = 0;
    float area = 0;
    for(int i = 0; i < N ; i++)
    {
        area = ordinate[i] * sm[i];
        momentSum += area * sm[i];
    }
    return momentSum;
}

float calculateCenterOfFloatation(float momentSum,float finalArea,double h)
{
    return (momentSum * h) / finalArea;
}

int main()
{
    double h; //common interval
    cout<<"Enter the Value of common interval : ";
    cin>>h;

    float * ordinate;
    ordinate = new float[N];
    takeOrdinateFromInput(ordinate);

    float * sm;
    sm = new float[N];
    smValueInitialize(sm);

    float areaSum = calculateAreaSum(ordinate,sm); // this function calculate the summation of (ordinate * sum)
    float finalArea = calculateTotalArea(areaSum,h); // this function calculate the final area which is formulated by Area = (3*h*areaSum) / 8

    float momentSum = calculateMomentSum(ordinate,sm); // this function calculate the moment of sum
    float centerOfFloatation = calculateCenterOfFloatation(momentSum,finalArea,h); // calculate centerOfFloatation

    cout<<"\n\nTotal Area : "<<finalArea<<" unit^2"<<endl;
    cout<<"\nCenter of Floatation : "<<centerOfFloatation<<endl;
    return 0;
}