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Stress-Strain Properties - 4
A common measure of the ability of a material to carry load per unit mass is termed strength-to-weight ratio and is calculated b...

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Stress-Strain Properties - 3
A brittle material will not exhibit a yield point. In other words, the yield point and failure point coincide. In such cases, th...

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Stress-Strain Properties - 2
The resilience of a material is its ability to resist permanent (or plastic) deformation. The resilience coincides with the elas...

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Stress-Strain Properties - 1
This is the first in a series of problems regarding mechanics of materials, in particular, material properties drawn from stress...

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Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

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Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

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Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

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Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate (​) of a battery can be calculated using the formula: ​​ where: ​ is th...

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Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...

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Battery Charge Efficiency Calculation
In a Battery Management System (BMS), the efficiency of battery charging can be estimated using the formula: where: is the...

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Battery Voltage Drop Estimation
In a Battery Management System (BMS), the voltage drop (V_drop) due to the load can be calculated using the formula:V_drop=I×R ...

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Battery Discharge Time Estimation
In a Battery Management System (BMS), the estimated discharge time (T) of a battery can be calculated as: ​​ where: ​ is the ...

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State of Charge (SoC) Estimation for a Battery
The State of Charge (SoC) of a battery represents its remaining charge as a percentage. It can be calculated using the formula: ...

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Battery Life Estimation for a Device
A battery-powered device consumes a constant current while operating. The estimated battery life (T) can be calculated using the...

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Clueless - Lord Ned in the Game Room with the Technical Computing Language
[Warning: this is a nontrivial programming problem] Worried about the decline in reasoning skills in the clueless populace of...

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Popular Word Game™ Distance
Professor Ned, who holds the Nedowed Chair of Crackpot Mathematics at the University of Nedsburg, has recently discovered the da...

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Who Holds the Lord Ned Challenge Shield?
During the Nedball Premier League regular season, each of the n teams plays each of the other (n-1) teams twice, once at home an...

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The Bridges of Nedsburg
The fabled city of Nedsburg consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, ...

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A Nedlish Country Garden - Check for Valid Arrangement
Nedland is famous for its stately gardens, which typically have a centerpiece of a square grid, with certain squares featuring a...

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Average Number of Moves for the Royal Game of Err
Bored of tedious court assemblies, King Neduchadneddar the Procrastinator has found a cunning way to keep his advisors, councilo...

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Transition Matrix for the Royal Game of Err
Bored of tedious court assemblies, King Neduchadneddar the Procrastinator has found a cunning way to keep his advisors, councilo...

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Convert Decimal to Hexavigesimal
NASA (Ned’s Alien-Spying Agency) have made contact with a 13-fingered race from the planet Genai. Naturally, Ned’s shadowy opera...

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Convert Hexavigesimal to Decimal
NASA (Ned’s Alien-Spying Agency) have made contact with a 13-fingered race from the planet Genai. Naturally, Ned’s shadowy opera...

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Leaderboard for the Nedball World Cup
At the upcoming inaugural Nedball World Cup, organizers need to track who is in the lead for the coveted Golden Toeplitz trophy,...

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Government of the Neds, by the Neds, for the Neds - Distribute the Nedsburg City Councilors
The city of Nedsburg consists of several islands, the number of which changes regularly, due to tectonic forces, shoddy civil en...

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Times 2 - START HERE
Try out this test problem first. Given the variable x as your input, multiply it by two and put the result in y. Examples:...

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Simcoupler with Matlab/Simulink
when I click on "SimCoupler" to insert my PSIM model I receive this error: Error using struct2handle Unrecognized function o...

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