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Kinetic energy calculation

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Laws of motion 5

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Laws of motion 2

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Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.

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Laws of motion 1

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Knights and Knaves (part 1)
This is a Matlab adaptation of the <http://en.wikipedia.org/wiki/Knights_and_Knaves Knights and Knaves> logical puzzles. You ...

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Number of cyles and fixed points in a permutation
A permutation can be constructed from one or more sets of elements in cyclic order. A permutation in a single row vector form ...

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Number of paths on a n-dimensional grid
This problem is inspired by <https://www.mathworks.com/matlabcentral/cody/problems/1483-number-of-paths-on-a-grid> and <https:/...

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Find the path through the cell
A list of cells is given. Return true if the elements of the list increase monotonically (each element is strictly larger tha...

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The Number of Ways
Find all the possible ways to reach the end of a matrix. So given [a b c d] the possible ways [a c],[a d],[b c],[b ...

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Number of paths on a 3d grid
This problem is inspired by <https://www.mathworks.com/matlabcentral/cody/problems/1483-number-of-paths-on-a-grid>, which you mi...

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Number of paths on a grid
Consider a grid formed by n vertices vertically down, and m vertices horizontally right. Your starting point is at the top lef...

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How many rectangles in a grid ?
How many rectangles are there in an m × n grid ? For example, if m=1 & n=2, we have 3 rectangles.

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Which way to go?
Given an m*n grid, How many ways are there to go from upper left corner to the lower right one? You can only move right...

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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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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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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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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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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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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 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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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 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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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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