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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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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 6
A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground. Their ro...

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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 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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Basic Mathematics 3
It was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach ball...

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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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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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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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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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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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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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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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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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Coefficient of Kinetic friction
A robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed. What is the coefficien...

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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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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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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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Reference Index Number
Given a reference set R of elements (each unique but identical in type), and a list V of elements drawn from the set R, possibly...

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Max index of 3D array
Given a three dimensional array M(m,n,p) write a code that finds the three coordinates x,y,z of the Maximum value. Example ...

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Set a diagonal
Given a matrix M, row vector v of appropriate length, and diagonal index d (where 0 indicates the main diagonal and off-diagonal...

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Decimation - Optimized for speed
This problem is similar to http://www.mathworks.com/matlabcentral/cody/problems/1092-decimation, only this time the score will b...

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Sort Reversal
There are n index cards in a row, with n distinct integers written on them (one number per card) so that the numbers are sorted ...

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Bubble sort
Write your own bubble sort function ( <https://en.wikipedia.org/wiki/Bubble_sort>) to sort all elements in x in ascending order....

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Implement a bubble sort technique and output the number of swaps required
A bubble sort technique compares adjacent items and swaps them if they are in the wrong order. This is done recursively until al...

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