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[Master Regular Expression] Vowel-Consonant Score
You are given a string s consisting of lowercase English letters, spaces, and digits. Let v be the number of vowels in s and c ...
4 days 前
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Determine Matrix Dimensions Without Using size or length
Write a function that takes a matrix A as input and returns a row vector containing the number of rows and the number of columns...
4 days 前
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Diagonal Cross Mandala
Generate an N×N matrix with diagonals highlighted to form an artistic X-shaped mandala pattern. e.g. N = 5; 1 0 0...
10 days 前
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Is it Possible? ( Easy )
In the first part of series, we simplify the problem. Given two jugs with capacities A and B, and a target amount T, determine i...
10 days 前
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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...
12 days 前
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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...
14 days 前
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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...
14 days 前
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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...
14 days 前
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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...
14 days 前
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Estimate dynamic load transfer to front axle during braking.
During braking, load shifts from the rear axle to the front axle. Given mass, deceleration, center of gravity height, and wheelb...
15 days 前
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Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...
15 days 前
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Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...
15 days 前
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Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...
15 days 前
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Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...
15 days 前
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Estimate brake disc temperature rise during braking.
During braking, kinetic energy is converted into thermal energy, causing brake discs to heat up. Excessive temperature rise can ...
15 days 前
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Estimate brake line pressure required for a given force.
Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydrau...
15 days 前
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Compute vehicle stopping distance using initial speed and constant deceleration.
Given vehicle speed v (m/s) and constant deceleration a (m/s²), compute stopping distance Remember: d = v² / (2a)
15 days 前
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Compute braking force using vehicle mass and acceleration.
Compute braking force required to stop a vehicle of mass 'm' and with acceleration 'a' Remember: F = m × a.
15 days 前
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Pushing a Heavy Machine
At a factory operated by Bharat Heavy Electricals Limited in Haridwar, engineers must move a heavy generator across the floor. ...
15 days 前
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The Multiplying Vines
As Arjun continues deeper into the Lost Forest of Aryavarta, thick magical vines suddenly wrap around the trees and block his pa...
15 days 前
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The Broken Bridge of Difference
fter entering the forest, Arjun walks deeper until he reaches a wide river. The bridge that once crossed it is broken, and only ...
15 days 前
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The Gate of Addition
As Arjun stands at the entrance of the mysterious Lost Forest of Aryavarta, he encounters a massive ancient wooden gate covered ...
15 days 前
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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...
15 days 前
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Maximum Power Transfer
Engineers at Texas Instruments design circuits for maximum efficiency. Internal resistance = 4 Ω Find load resistance for maxi...
15 days 前
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Kirchhoff’s Loop Law
Engineers at ISRO design spacecraft circuits. Battery = 10 V Total resistance = 2 Ω Find current in loop.
15 days 前
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Power Loss in Transmission Lines
Electricity transmitted by Power Grid Corporation of India experiences power loss due to resistance. Current = 10 A Resistance...
15 days 前
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Car Battery Internal Resistance
Engineers at Tata Motors test a car battery with: EMF = 12 V Internal resistance = 1 Ω External resistance = 5 Ω Find curren...
15 days 前
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Parallel Circuit in Home Wiring
Home appliances connected in parallel in a house in Gurgaon have resistances of 6 Ω and 3 Ω. Find equivalent resistance.
15 days 前
