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Basic Mathematics 4
Team #1 is in first place but only one point higher than Team #2. The sum of their two scores is N. What are each team’s scores...

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Linear Motion 3
Suppose a robot is moving in a straight line and steadily increases its speed. It moves from v1 ft/s to v1+2 ft/s in the first ...

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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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Basic Mathematics 1
If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in directio...

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Linear Motion 2
During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain. The testing takes place over...

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Linear Motion 1
An object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during ...

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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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Voltage in a lamp
A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being a...

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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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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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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

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Resistance in a circuit
Two resistors with values of 6.0 ohms and 12 ohms are connected in parallel. This combination is connected in series with a 4 o...

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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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Pascal's Triangle
Given an integer n >= 0, generate the length n+1 row vector representing the n-th row of <http://en.wikipedia.org/wiki/Pascals_t...

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Diagonal Pattern
For a positive integer |n|, return an |nXn| matrix |mat| such that the value of each element in row |i| and column |j| is given ...

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Current through resistor
Three resistors (R2, R3, R4) are connected in parallel as shown in the figure. If this combination is connected in series with ...

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Calculate Parallel Resistance
Three resistors connected in parallel have resistances R1, R 2, and R 3, respectively. Return the total resistance R total of ...

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Resistance of a light bulb
The current through two identical light bulbs connected in series is C Amperes. The total voltage across both bulbs is V Volts....

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Electrical Diode Current Calculation
In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instanc...

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An Ohm's Law Calculator
*BACKGROUND / MOTIVATION:* Many important observations in math and science can be described by short, but powerful, equations...

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Force and Motion 3
Two robots push on a large object in the same direction. One robot pushes with a force of F1 Newtons and the other with a force...

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Force and Motion 2
Two robots are pulling on an object in opposite directions. One robot pulls with a force of F1 Newtons and the other with a forc...

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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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sum of non-primes
The sum of the non-primes no larger than 10 is 1+4+6+8+9+10=38 Find the sum of all the positive non-prime integers that do no...

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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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surrounded matrix
With a given matrix A (size m x n) create a matrix B (size m+2 x n+2) so that the matrix A is surrounded by ones: A = [1 2 ...

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Spherical Volume
Calculate the volume of a sphere.

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Area of a Square
Given the length x of the side of a regular square, find the area of the square, A.

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Given a number N, find the smallest prime P>N
Given a number N, find the smallest prime P greater than N. For example: If N=10 then P=11. If N=13 then P=17.

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area of an annulus
Given the diameter d of the inner circle of the annulus. Given length z of a chord of the outer circle of the annulus. This chor...

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