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Solved
Project Euler: Problem 6, Natural numbers, squares and sums.
The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...
1 month ago
Solved
Project Euler: Problem 4, Palindromic numbers
A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...
1 month ago
Solved
Project Euler: Problem 3, Largest prime factor
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...
1 month ago
Solved
Project Euler: Problem 2, Sum of even Fibonacci
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...
1 month ago
Solved
Project Euler: Problem 1, Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...
1 month ago
Solved
Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...
1 month ago
Solved
Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...
1 month ago
Solved
Estimate brake disc temperature rise during braking.
During braking, kinetic energy is converted into thermal energy, causing brake discs to heat up. Excessive temperature rise can ...
1 month ago
Solved
Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...
1 month ago
Solved
Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...
1 month ago
Solved
Estimate dynamic load transfer to front axle during braking.
During braking, load shifts from the rear axle to the front axle. Given mass, deceleration, center of gravity height, and wheelb...
1 month ago
Solved
Estimate brake line pressure required for a given force.
Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydrau...
1 month ago
Solved
Compute the required brake torque at wheel to stop the car
Brake torque defines how effectively braking force translates into wheel deceleration. Given braking force and wheel radius, det...
1 month ago
Solved
Compute braking force using vehicle mass and acceleration.
Compute braking force required to stop a vehicle of mass 'm' and with acceleration 'a' Remember: F = m × a.
1 month ago
Solved
Compute vehicle stopping distance using initial speed and constant deceleration.
Given vehicle speed v (m/s) and constant deceleration a (m/s²), compute stopping distance Remember: d = v² / (2a)
1 month ago
Solved
Volumetric efficiency
Volumetric efficiency measures how well an engine breathes. The ratio of the actual air mass drawn in per cycle to the theoreti...
2 months ago
Solved
Pi Digit Probability
Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...
2 months ago
Solved
SatCom #9: Overall Link Performance
Satellite and Space Engineering - Problem #9 This is part of a series of problems looking at topics in satellite and space comm...
2 months ago
Solved
SatCom #8: Satellite Link Budget
Satellite and Space Engineering - Problem #8 This is part of a series of problems looking at topics in satellite and space comm...
2 months ago
Solved
SatCom #7: Thermal Noise in a Receiver
Satellite and Space Engineering - Problem #7 This is part of a series of problems looking at topics in satellite and space comm...
2 months ago
Solved
SatCom #5: Determine Elliptical Orbit Parameters
*Satellite and Space Engineering - Problem #5* _This is part of a series of problems looking at topics in satellite and space...
2 months ago
Solved
SatCom #4: Satellite Orbit Altitude
Satellite and Space Engineering - Problem #4 This is part of a series of problems looking at topics in satellite and space comm...
2 months ago
Solved
SatCom #3: Free Space Path Loss
*Satellite and Space Engineering - Problem #3* _This is part of a series of problems looking at topics in satellite and space...
2 months ago
Solved
SatCom #2: Gain of a circular 'dish' antenna
Satellite and Space Engineering - Problem #2 This is part of a series of problems looking at topics in satellite and space comm...
2 months ago
Solved
SatCom #1: Wavelength of an electomagnetic wave
*Satellite and Space Engineering - Problem #1* _This is the first of a series of problems looking at topics in satellite and ...
2 months ago
Solved
Stress-Strain Properties - 5
Similar to the previous problem, materials may be characterized by their stiffness-to-weight ratio, which is the elastic modulus...
2 months ago
Solved
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...
2 months ago
Solved
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...
2 months ago
Solved
Stress-Strain Properties - 2
The resilience of a material is its ability to resist permanent (or plastic) deformation. The resilience coincides with the elas...
2 months ago
