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!...
Soldering Practice
...
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 – ...