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Solved
Newton’s First Law – Net Force in Equilibrium
At a manufacturing plant operated by Reliance Industries in Jamnagar, a heavy equipment box rests on the factory floor. Even th...
6 hours ago
Solved
Newton’s Second Law – Gravitational Force on a Falling Object
During a relief mission organized by the Indian Air Force, supply packages are dropped from aircraft to remote flood-affected ar...
6 hours ago
Solved
Newton’s Second Law – Acceleration of Connected Objects
Engineers at Boston Dynamics are testing two robots connected by a rope on a frictionless surface. Robot A pulls Robot B using ...
6 hours ago
Solved
Newton’s Second Law – Force Produced by a Car Engine
Automotive engineers at Tata Motors are testing a new electric car prototype on a straight test track in Pune. The engineers wa...
6 hours ago
Solved
Newton’s Third Law – Action and Reaction in Rocket Launch
Scientists at SpaceX are testing a rocket engine before launch from their facility. When the rocket pushes exhaust gases downwa...
6 hours ago
Solved
Newton’s Second Law – Normal Force in an Accelerating Elevator
Engineers at Otis Elevator Company are testing a new high-speed elevator installed in the Burj Khalifa. When the elevator accel...
6 hours ago
Solved
Newton’s Second Law – Motion on an Inclined Plane
In the mountainous region near Manali, a rescue team is testing a motorized emergency vehicle designed to climb steep slopes. E...
6 hours ago
Solved
Newton’s First Law – Force Needed to Start Motion
At Indira Gandhi International Airport, a heavy suitcase is sitting on a stationary conveyor belt. The belt is initially at rest...
7 hours ago
Solved
Newton’s Second Law – Acceleration of a Mars Rover
At NASA's robotics laboratory, engineers are preparing a prototype rover for a future mission to Mars. Before sending the rover...
7 hours ago
Solved
Newton’s Second Law – Force Required to Accelerate a Rocket Cart
At ISRO's training center, engineering students are testing a small rocket-powered cart on a straight frictionless track. The ca...
7 hours ago
Solved
Given a Polyshape_01 (ps) Return its Perimeter, Area, and Centroid.
Return the perimeter (P) of a polyshape object, which is the sum of the lengths of its boundaries. Return the total area (A) of...
7 hours ago
Solved
5-year Annedversaries
This is the Bonus Round problem for the 2025 Cody Contest. Attend the watch party on Friday, March 27 to see how 6 champions fro...
1 day ago
Solved
Angular Velocity of a Falling Rod Pivoted at One End (Energy + Rotation)
Engineers at Indian Institute of Technology Bombay are designing a rotating docking arm for a future space station. The arm is m...
9 days ago
Solved
Angular Velocity Required to Create Artificial Gravity
Scientists at NASA and Indian Space Research Organisation are designing a rotating space station ring to simulate Earth-like gra...
9 days ago
Solved
Moment of Inertia Using Parallel Axis Theorem
Engineers at Indian Space Research Organisation are designing a satellite with extendable robotic arms. When the arms extend out...
9 days ago
Solved
Acceleration in a Symmetric Double-Pulley Constraint System
Engineers at Indian Institute of Technology Kanpur are designing a precision counterweight system for high-speed elevators. The ...
10 days ago
Solved
Tension in String for Circular Motion (Advanced Rotational Dynamics)
At the astronaut training facility of Indian Space Research Organisation, astronauts are trained using a rotating centrifuge. Th...
10 days ago
Solved
Angular Velocity of a Falling Rod Pivoted at One End (Energy + Rotation)
Engineers at Indian Institute of Technology Bombay are designing a rotating docking arm for a future space station. The arm is m...
10 days ago
Solved
Motion of a Bead Sliding on a Rotating Rod (Non-Inertial Frame Dynamics)
Scientists at Indian Space Research Organisation are testing artificial gravity inside a rotating space station module. Inside ...
10 days ago
Solved
Acceleration of Block Relative to Ground
Researchers at Indian Space Research Organisation test cargo motion inside accelerating spacecraft ramps. Find acceleration.
10 days ago
Solved
Acceleration in an Atwood Machine with Massive Pulley
Engineers at Indian Institute of Technology Delhi are designing a precision elevator calibration system using two masses connect...
10 days ago
Solved
Velocity of a Particle Under Constant Acceleration Using Energy Methods
Scientists at CERN are testing a linear accelerator that uses electromagnetic force to accelerate charged particles along a stra...
10 days ago
Solved
Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula to give some prime numbers. Problem...
14 days ago
Solved
Rotating 2d curve around a vertical axis
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider the counterclockwise rotatio...
15 days ago
Solved
Rotating the plane region bounded by two polynomials
Let p and q be n-degree and m-degree polynomials with n >= m >= 1. Consider clockwise rotate the plane region bounded by these t...
15 days ago
Solved
Odd Run Sums
Given a row vector x of integers, find every maximal run of consecutive odd numbers and return a row vector containing the sum o...
19 days ago
Solved
Comparing to scale all terms versus one term of even-degree polynomial by the same scale factor
Let p be an even-degree polynomial with positive leading coefficient. Consider the scale factor, k, that vertically transforms ...
19 days ago
Solved
Scaling vertically parabola by evaluating its area over an interval
Let p be a quadratic polynomial, with its axis of symmetry being the y-axis. Considering the vertical shift of its vertex to the...
19 days ago
Solved
Scaling vertically functions
Given a real function by the 1×n array, x, of inputs and the 1×n array, y, of outputs, consider shifting vertically its graph by...
19 days ago
Solved
Shifting vertically even-degree polynomial's graph by its mean over an interval
Let p be an even-degree polynomial with positive leading coefficient. Consider its vertical translation by shifting its graph by...
19 days ago











