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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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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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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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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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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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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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Linear Motion 7

A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far ha...

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Linear Motion 5

A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity o...

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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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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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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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Get the area codes from a list of phone numbers

Given a string of text with phone numbers in it, return a unique'd cell array of strings that are the area codes. s = '508-647...

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Find the longest sequence of 1's in a binary sequence.

Given a string such as s = '011110010000000100010111' find the length of the longest string of consecutive 1's. In this examp...

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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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Finding Perfect Squares

Given a vector of numbers, return true if one of the numbers is a square of one of the numbers. Otherwise return false. Example...

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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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Triangle Numbers

Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be displa...

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Create times-tables

At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...

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Calculate Amount of Cake Frosting

Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...

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Convert from Fahrenheit to Celsius

Given an input vector |F| containing temperature values in Fahrenheit, return an output vector |C| that contains the values in C...

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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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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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