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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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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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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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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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Triangle Coordinates

Given a natural number n, return two -element vectors, x and y, containing the coordinates of a triangular arrangement of points...

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Angle Between Analog Clock Hands

Given a datetime variable t, return the angle (in degrees) between the hour and minute hands of an analog clock at the time repr...

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Extract the Acrostic Message

An acrostic cipher is a way of embedding one message within another by taking the first (or last) word of each line. Given a str...

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Boustrophedon

Given a vector v and a positive integer n, return an m-by-n matrix containing the elements of v row-wise, alternating left-to-ri...

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Create block matrix of integers (j+k-1) - Part II

Given m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column o...

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Create block matrix of integers (j+k-1) - Part I

Given m, n, p, and q, create a matrix of m-by-n blocks (submatrices), each sized p-by-q. The elements of the (j,k)th block all h...

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Dartboard Average II

A dartboard arranges the numbers 1 to 20 such that each value is typically flanked by quite different values - for example, 20 i...

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Dartboard Average I

A dartboard arranges the numbers 1 to 20 such that each value is typically flanked by quite different values - for example, 20 i...

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Possible Rugby Scores

Given a natural number s (> 4), representing a rugby team's score, return an n-by-3 matrix representing all n possible combinati...

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Split Even Number Into Two Primes

Given an even whole number n (> 2), return a 2-element vector of primes, p, such that p(1) + p(2) = n. Fun note: technically it...

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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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Estimating Euler's (Oi-ler-z) Number

Euler's number is an irrational constant given by Starting with x=0, count the number of times you can add a uniformly distrib...

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Next Tribonacci Number

The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Generate Tribonacci Sequence

The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Generate Pascal's Triangle Matrix

Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row: ...

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Interpolated Value Between Two Points

Given two points, and , a new location x, and a method "linear" or "cubic", return the value of a linear or cubic interpolant t...

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A Binary Search

One way to locate a target value in a sorted array, is to use a binary search algorithm. Here, you test if the midpoint in the a...

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Where the Four Corners Am I? (Vectorized)

NOTE: this problem is intended to build on problem #55960 ("Where the Four Corners Am I?"). You may wish to solve that problem f...

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Where the Four Corners Am I?

The "Four Corners" region of the US is where Colorado, Utah, Arizona, and New Mexico all meet - the only place where four states...

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Taylor Series

You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

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