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Linear Motion 4
A robot accelerates at a rate of A ft/s2. Assuming the robot starts from rest how much time is required to reach an object loca...

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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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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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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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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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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 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 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 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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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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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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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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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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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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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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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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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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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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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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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 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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Fibonacci Decomposition
Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

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How many Fibonacci numbers?
Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

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