解決済み

Acceleration of Block Relative to Ground
Researchers at Indian Space Research Organisation test cargo motion inside accelerating spacecraft ramps. Find acceleration.

2ヶ月前

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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...

2ヶ月前

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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...

2ヶ月前

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Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula to give some prime numbers. Problem...

3ヶ月前

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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...

3ヶ月前

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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...

3ヶ月前

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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...

3ヶ月前

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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 ...

3ヶ月前

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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...

3ヶ月前

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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...

3ヶ月前

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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...

3ヶ月前

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Translating even-degree polynomial by its vertex to the origin
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider its translation by shifting ...

3ヶ月前

解決済み

Translating parabola by its vertex to the origin
Given a quadratic polynomial, p(x) = ax^2 + bx + c (a ~= 0), represented by the vector [a b c], consider the translation of the ...

3ヶ月前

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Shifting vertically a function's graph
Given a real function, f, by n input-output pairs, consider a translation in the up-down direction given by an amount k. For a ...

3ヶ月前

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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...

3ヶ月前

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Power of Moving Vehicle
Engineers at Tesla calculate how much power is required to maintain vehicle motion.

3ヶ月前

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Spring Energy Storage
Engineers at Bosch design suspension systems using springs. They calculate the energy stored when the spring compresses.

3ヶ月前

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Machine Efficiency Test
Engineers at Siemens test how efficiently a motor converts electrical energy into mechanical work.

3ヶ月前

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Falling Object Velocity
Scientists at ISRO drop test equipment from a height to study motion under gravity. They must calculate the velocity just befor...

3ヶ月前

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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. ...

3ヶ月前

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Power of Elevator Motor
P=W/t

3ヶ月前

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Total Energy of Moving Object
E=KE+PE

3ヶ月前

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Roller Coaster Height Energy
At Imagicaa Theme Park, engineers calculate potential energy at the top of a roller coaster.

3ヶ月前

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Kinetic Energy of a Moving Car
Engineers at Mahindra & Mahindra test how much kinetic energy a car gains when accelerating.

3ヶ月前

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Work Done in Lifting an Object
Engineers at Larsen & Toubro are testing a crane used to lift heavy construction materials at a building site in Mumbai. They n...

3ヶ月前

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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...

3ヶ月前

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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.

3ヶ月前

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Drift Velocity in Conductor

3ヶ月前

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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...

3ヶ月前

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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...

3ヶ月前