# Year: 2019

## Testing convergence of a sample Logarithmic series using Leibnitz’s rule

Below is the solution to test convergence of a sample Logarithmic series –...

## Finding maximum power transmitted neglecting centrifugal tension

Below is a sample problem and its solution to find maximum power transmitted in a scenario where we need to neglect centrifugal tension....

## Finding power transmitted by a belt given max tension

Below is the solution to find power transmitted by a belt given maximum permissible tension and rpm of a larger pulley –...

## Finding maximum power transmitted from maximum belt stress

Here is a problem involving V-belt where we calculate the maximum power transmitted from the maximum belt stress and other attributes in the system –...

## Finding Velocity and maximum power transmitted

Here is an interesting solution to find velocity and maximum power transmitted –...

## Finding Torque and power transmitted

Here is an interesting problem and solution to calculate torque and power transmitted of a shaft and pulley system. You can easily extend this to...

## Finding maximum power transmitted and initial tension

Its interesting to use the mechanical formulas to find maximum power transmitted and initial tension given the characteristic features of a flat belt pulley system....

## Finding power transmitted by a pulley

Here is a real life mechanical problem to solve – Two parallel shafts whose center lines are 4.8m apart are connected on an open belt...

## Finding maximum cross sectional area of a Mechanical belt

Question: A leather belt transmits 30 KW from a pulley 750 mm diameter which runs at 500 rpm. The belt is in contact with the...

## Finding Tight side and Slack side tension of a mechanical belt

Question: An electric motor provides 6.6 KW to a belt driven pulley 125 mm in diameter. The speed of the pulley is 1050 rpm. Calculate the...

## Discussing Convergence of Iteration and Newton Raphson Methods

We use various Numerical methods to solve algebraic and transcendental equations. All these methods converge the result to a single root after various approximations specific...

## Solving Equations by Jacobi’s Iteration Method

Jacobi’s Iteration method is an interesting method to solve equations by simple iteration method. Here is an example –  ...

## Solving a set of equations using Gauss Seidal Elimination Method

Here is an excellent example of Gauss Seidal elimination method to solve a set of equations –...

## Finding Inverse of a Matrix using Gauss Elimination Method

Here is an intelligent and simple way to find the inverse of a matrix using Gauss Elimination method –...

## Gauss Jordan Elimination Method

Here is a well explained solution to solve a set of equations using Gauss Jordan Elimination method –...

## Gauss Elimination Method

Below is a well explained solution for a set of equations using Gauss Elimination method. Enjoy!  ...

## Finding Roots of equation x3-3×2+x+1=0

We will be using Newton Raphson method to find the root of this equation. Enjoy!...

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## Parallel Lamp Connection

Below is the lab work for Parallel Lamp Connection –...

## Dim and Bright Connection

Here is the detailed lab work for a Dim and Bright lamp connection – ...

## Master Electric Connection

We will see how to operate 3 lamps using a master switch and also simultaneously operating them....

## Fluorescent Tube connection

Below is a simple step by step description of a Fluorescent Tube connection. We will see the list of materials needed, the procedure to build...

## Finding measure of skewness and kurtosis for Poisson distribution

Here we define what Poisson Distribution is how to measure its skewness and kurtosis....

## Proving Inversion Mapping

Here we venture to prove that Inversion Mapping maps the totality of circles lines in the Z plane on to the same that of W plane...

## Find 4th Root of 1 and Square root of -8i

Here is an interesting solution to find nth root of a complex number Z. Here we use a general equation to find the 4th root...

## Finding Linear Fractional Transformation

Ok, here is a beautiful mathematical solution to find the Linear Fractional Transformation which maps |Z| <= 1 on to |W| <=1 such that Z =...

## Transformation of W=eZ

Here we discuss transformation of W = eZ...

## Forming a Bi-Linear Transformation which maps a set of points

Here is a mathematical solution for forming a Bi-Linear Transformation which maps the points (1, i,-1) onto the points  (i,0,-i) and hence finding the image of...

## How to determine which mathematical functions are analytic

Here is the solution on how to determine if a mathematical function is analytic –...

## Mathematical solution for checking a certain function satisfy Laplace Equation

Here is an attempt to check if a function satisfies Laplace Equation and determining corresponding analytical function –...

## Locus of a point Z satisfying condition |Z-1| + |Z+1| = 4

Here is a fun solution for Mathematics students to find the locus of a point Z satisfying condition |Z-1| + |Z+1| = 4 –  ...