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Flip the main diagonal of a matrix
Given a n x n matrix, M, flip its main diagonal. Example: >> M=magic(5); >> flipDiagonal(M) 9 24 1 ...

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Back to basics 21 - Matrix replicating
Covering some basic topics I haven't seen elsewhere on Cody. Given an input matrix, generate an output matrix that consists o...

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subtract central cross
Given an n-by-n square matrix, where n is an odd number, return the matrix without the central row and the central column.

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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...

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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...

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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...

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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.

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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)

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Determine if Input is Oddish or Evenish (Odd/Even Sum of Digits)
Given a positive integer n, determine whether n is "oddish" or "evenish" - that is, whether the sum of the digits of n is odd or...

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Projector Matrix
Write a function to determine whether or not the matrix is a projector. Projector matrices are defined as P^2 = P.

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Divisible by 5
Pursuant to the first problem in this series, this one involves checking for divisibility by 5. Write a function to determine i...

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Divisible by 2
This is the first problem in a set of "divisible by x" problems. You will be provided a number as a string and the function you ...

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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 ...

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swap sign sum & multiply castles
It is an easy problem, if you know the answer. Given a square matrix of NxN ordinary numbers. Initially place N identical indi...

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Flip the diagonal values
Write a program that flip the elements of main diagonal , upper and lower diagonal values of a sqare matrix. For example if a ...

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Calculate supply voltage and total current
Three resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV2volts Find the ...

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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

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Basic Mathematics 7
Three generous robotics team mentors would jointly like to donate $N toward extra supplies. The second mentor is donating twice ...

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Basic Mathematics 5
The total area of all four equal sections of the game field is N ft². Each section has a rectangle of dimensions X ft x Y ft re...

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Basic Mathematics 2
If a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weigh...

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Coefficient of Sliding Friction
A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the ...

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Penny flipping - calculate winning probability (easy)
Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/...

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Resistance of a robot
What is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? R...

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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...

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Magnitude of Balancing Force
A box weighing W1 pounds is placed where its center of mass is located d1 ft from the fulcrum. A balancing force is placed at th...

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Coefficient of Static friction
The coefficient of static friction between two surfaces is u. What force must be used to move a W lb. crate on a horizontal sur...

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Calculate the acceleration of a crate
What is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts ...

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Find the force required to support a lever
Students are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have d...

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Find the mass of a rod
Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram. In the diagram L1, L2, L3 are di...

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Calculate load on arm 1
A robot is designed with a motor directly attached at the pivot point of the lifting arm. The L inch arm has a weight of W1 lbs...

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