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How To Solve Amazon's Hanging Cable Interview Question

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How To Solve Amazon's Hanging Cable Interview Question

A cable of 80 meters (m) is hanging from the top of two poles that are both 50 m from the ground. What is the distance between the two poles, to one decimal place, if the center of the cable is (a) 20 m above ground? (b) 10 m above ground?

Chatterjee, Neil, and Bogdan G. Nita. The hanging cable problem for practical applications. Atlantic Electronic Journal of Mathematics 4.1 (2010).


Careercup Amazon question


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how to solve amazon's hanging cable interview question (Arabic) كيفة حل سؤال الكابل المعلق بالعربي

المسأله في عمودين بينهم كابل، طول كل عمود ٥٠ متر و طول الكابل ٨٠ متر و ارتفاع الكابل عن الارض ١٠ متر و مطلوب معرفة المسافة بين العمودين
علشان تشوف الحل لو اقل ارتفاع السلك ٢٠ متر بدون تقريبات و بالمعادلات موجود في اللينك التالي

مافيش مراجع مطلوبه

Please notice that the distance can not be 0 for 10m, cable width does not equal 0.

 A cable of 80 meters (m) is hanging from the top of two poles that are both 50 m from the ground. What is the distance between the two poles, to one decimal place, if the center of the cable is (a) 10 m above ground?

for 20 m see the detailed solution




see this also, it is another difficult question is here




 no references are needed
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how to solve amazon hanging cable interview question, 3 Methods (Arabic) كيفية حل سؤال الكابل المعلق

المسأله في عمودين بينهم كابل، طول كل عمود ٥٠ متر و طول الكابل ٨٠ متر و ارتفاع الكابل عن الارض ١٠ متر و مطلوب معرفة المسافة بين العمودين و السؤال الثاني المسافه كام لما يكون ارتفاع الكابل ٢٠ متر؟ استخدمت ٣ طرق منها السريع و منها الدقيق

A cable of 80 meters (m) is hanging from the top of two poles that are both 50 m from the ground. What is the distance between the two poles, to one decimal place, if the center of the cable is (a) 20 m above ground? (b) 10 m above ground? Used here 3 methods from the beginning, 1st method with approximation but a solution within 1 min and 2nd method for 20m using both the approximation and the exact method with no approximation. No references used just trigonometry


see this also, it is another difficult question is here
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Two Poles and Cable PUZZLE || Tricky Puzzle || Interview Question

2 poles of 15 meters have a 16 meters long cable hanging in between them.
Puzzle : At what distance between the two poles, the height of the center of the cable from earth would be 7 meter.

The video has complete explanation of the answer.

Please comment below your answers and suggestions. Also LIKE the video and SUBSCRIBE to my channel if you are new.
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Solving Amazon's Mystery Dice Interview Question

This is a nice probability question asked in an interview for a job at Amazon. Learn two ways to solve it!

Source


Paper by Dr. Gleb Yakubov
Dolan, Grace K., et al. “Probing adhesion between nanoscale cellulose fibres using AFM lateral force spectroscopy: The effect of hemicelluloses on hydrogen bonding.” Carbohydrate polymers 208 (2019): 97-107. ( See the footnote on page 102.

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The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias rated 3.5/5 stars on 4 reviews

40 Paradoxes in Logic, Probability, and Game Theory rated 4.4/5 stars on 13 reviews

The Best Mental Math Tricks rated 4.7/5 stars on 8 reviews

Multiply Numbers By Drawing Lines rated 4.3/5 stars on 6 reviews


Mind Your Puzzles: Collection Of Volumes 1 To 3

A collection of 3 books:
Math Puzzles Volume 1 rated 4.4/5 stars on 13 reviews

Math Puzzles Volume 2 rated 4.5/5 stars on 6 reviews

Math Puzzles Volume 3 rated 4.1/5 stars on 7 reviews


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Amazon interview question - distance between two poles

hello everyone
this channel is all about science, engineering and problem solving. we make these type of videos on this channel.
in this video we will see a math problem that has been asked in amazon interview question. it was a two pole question in which the distance between then had to be calculated.
thank you for watching.
stay connected.

????Solution To Amazon Hanging Cable Viral Problem

A great chance to challenge your math teacher! Math puzzles and maths games continue to become more and more popular. They seem very easy at first, but many people end up getting them all wrong. Do you want to test your logic skills?

1+4=5 sequence IQ test. This problem went viral and generated millions of comments on Facebook, Twitter, YouTube, and social media sites.

Watch the explanation on how to get the correct answer.

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Translated titles:
Solución al problema viral del cable colgante de Amazon | Explicación detallada

Lösung für Amazon Hanging Cable Viral Problem | Ausführliche Erklärung

Solution au problème viral du câble suspendu Amazon | Explication détaillée

Solução para o problema viral do cabo pendurado na Amazon | Explicação detalhada

अमेज़ॅन हैंगिंग केबल वायरल समस्या का

حل لالامازون معلقة كابل مشكلة فيروسية شرح مفصل

#math

Can You Solve Amazon's Hanging Cable Interview Question with SolidWorks?

soluzione catenaria con Solidworks
The Hanging Cable Problem from Amazon's Interview Questions
solidworks

how to solve amazon hanging cable question, why distance is not zeroحل الكابل المعلق و لماذا ليس صفر

solving amazon hanging cable question, a cable between two poles with height of each pole 50 m, the cable is 10 m above the ground, so what is the distance between the two poles. Why it is not zero, because we can not neglect cable thickness, which is not zero, also the distance is measured from the center of the cable to the center of the cable at both sides. Radius of curvature is another physical factor that can not be neglected.


حل لغز امازون الكابل المعلق، الكابل علي ارتفاع ١٠ متر عن الارض و معلق علي عمودين كل منهما ارتفاعه ٥٠ متر، هنا اشرح لك لماذا الاجابه ليست صفر لان الكابلات من صفاتها نصف قطر الدوران و هي ليست خيط و لا يمكن ان تتجاهل ثمك الكابل او تخانته، الاجابه الصحيحه هي غير موجوده في المجال الحقيقي و لكن هناك اجابه باستخدمام المجال التخيلي .. تابع الفيديو كي تفهم ما اعني


عندما تسأل امازون هذه الاسئله فالمطوب هو معرفه قدرتك علي حل الالغاز بسرعه و معرفه اذا كانت صحيحه اما خطأ بمجرد النظر

لغز أمازون المرسب من الشايب

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Distance between two poles logical puzzle || iq questions

In this video we have discussed logical puzzle distance between two poles
Solve the puzzle and check your iq level
Watch video for solution

Catenary: Amazon interview question: Find the distance between the poles

Catenary: Amazon interview question: Find the distance between the poles
Link to catenary eqn derivation:

Amazon Interview Questions with Answers

These 6 puzzles were part of Amazon Interview. Watch this amazon interview questions and answers asked in Amazon placement drive.

Amazon Interview Questions and answers.


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How To Solve Amazon's Pair Of Socks Interview Puzzle

This problem was part of a written interview test for Amazon in India. A drawer contains 12 identical black socks and 12 identical white socks. If you pick 2 socks at random, what is the probability of getting a matching pair?

My blog post for this video


Source of puzzle


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Math Puzzles Volume 1 features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.

Math Puzzles Volume 2 is a sequel book with more great problems. (rated 5/5 stars on 3 reviews)

Math Puzzles Volume 3 is the third in the series. (rated 3.8/5 stars on 4 reviews)

40 Paradoxes in Logic, Probability, and Game Theory contains thought-provoking and counter-intuitive results. (rated 4.3/5 stars on 12 reviews)

The Best Mental Math Tricks teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews)

Multiply Numbers By Drawing Lines This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews)

Catenary example: Find the distance between the poles

Beyond the boundaries: Shape of a hanging chain / cable: Catenary: introduction & Derivation
Link to catenary eqn derivation:
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Hyperbolic Functions: Catenary: Formula and Proof

In this video I go over a really fascinating curve, and that is the catenary which is the shape formed by handing a heavy cable across two heights of equal heights. For example telephone cables and power lines hang according to this catenary shape. The word catenary stems from the Latin “catena” which means “chain”. While the curve “appears” to look like a parabola it is in fact not a parabolic shape, but rather a hyperbolic function, hyperbolic cosine (cosh) to be exact. The catenary formula is usually written as y = a*cosh(x/a) + c or y = cosh(a*x)/a + c, whereas my calculus book uses the former.

The derivation involves some basic static equilibrium physics by first breaking up a segment of the chain and using a Free-Body Diagram to illustrate all of the forces at play. Summing up the horizontal and vertical components of the forces to ensure they sum up to zero (i.e. that the chain is static and not moving with an acceleration), we are able to obtain a differential equation for the curve. This equation includes the arc length of the chain segment, and thus we can apply the formula arc length, and a whole lot of tedious algebra later to finally obtain the hyperbolic catenary function!

I also go over a brief history lesson on the catenary and show how the likes of Galileo, Huygens, Leibniz, and Bernoulli brothers Jacob and Johann were involved in a rigorous mathematical battle to try to determine the formula of the catenary, which shocked Galileo’s assumption of it being a parabola. The catenary has some very interesting properties, and the fact that it is formed by simply holding a heavy cable up by two heights helps explain how it has a very low center of gravity and small potential energy. I may investigate more into the catenary so stay tuned!

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Related Videos:

Hyperbolic Functions - tanh(x), sinh(x), cosh(x) - Introduction:
Applications of Integrals: Arc Length Proof: .

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Oxford ranks as one of the best universities in the world. Can you solve this ladder problem, which is adapted from an admission interview question?

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My Books
The Joy of Game Theory shows how you can use math to out-think your competition. (rated 4.0/5 stars on 37 reviews)


The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 3.5/5 stars on 4 reviews)


Math Puzzles Volume 1 features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.


Math Puzzles Volume 2 is a sequel book with more great problems. (rated 4.5/5 stars on 6 reviews)


Math Puzzles Volume 3 is the third in the series. (rated 4/5 stars on 6 reviews)


40 Paradoxes in Logic, Probability, and Game Theory contains thought-provoking and counter-intuitive results. (rated 4.4/5 stars on 13 reviews)


The Best Mental Math Tricks teaches how you can look like a math genius by solving problems in your head (rated 4.8/5 stars on 5 reviews)


Multiply Numbers By Drawing Lines This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 4.3/5 stars on 6 reviews)


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AMAZON Interview Questions And Answers! (How To PASS an Amazon Job Interview - Preparation TIPS!)

Download Richard McMunn's Amazon Job Interview Questions and Answers:
If you have an Amazon job interview coming up, we recommend you not only watch this interview skills training video, but you also use the answers provided to pass your interview. We also advise you to demonstrate the following key skills and qualities that form part of the Amazon job description and person specification:

AMAZON JOB DESCRIPTION QUALITIES & ATTRIBUTES
- Exceptional customer service skills;
- Attention to detail – keeping mistakes to a minimum;
- Being able to achieve tough work targets;
- Having a positive and enthusiastic approach to your work;
- Being a supportive team member;
- Having a trustworthy, honest and loyal attitude to your work;
- Willing to learn and develop within your role.

#amazon #amazoninterviewquestions #amazoninterviewpreparation

AMAZON INTERVIEW QUESTIONS AND ANSWERS
Q. Tell me about yourself and why you want this job with Amazon?
Q. Why Amazon?
Q. What can you tell me about the Amazon brand?
Q. When have you demonstrated brilliant customer service?
Q. Why do you want to work for Amazon?
Q. What skills, qualities and attributes do you have that will be a match for this Amazon role?
Q. At Amazon, we pride ourselves on constantly achieving great things. Tell me about one of your greatest achievements?
Q. What are the 14 Amazon leadership principles? (Amazon Leadership Roles)

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Amazon Coding Interview Question - Recursive Staircase Problem

Amazon coding interview question and answer - recursive staircase problem!

For daily coding problems like this one, I’d recommend this website called Daily Coding Problem. You can find it here:
(That’s a referral link, and you can get a 10% discount through that link. Their free option and blog articles are good, too, though.)

Outline (check my comment for the clickable outline):
0:07: Problem description
1:14: A variation of the problem
2:15: Thinking about simple cases
4:18: Finding a pattern
5:24: Relabeling the steps
6:41: Revisiting the pattern with the new labels
7:53: The pattern we’ve found - recap.
8:11: The recursive relationship we’ve found
8:50: What about when N = 0?
9:40: Writing a naive recursive solution
10:39: Why this solution is not efficient
11:24: How to fix it with dynamic programming (bottom-up)
12:27: The bottom-up solution in code
13:34: How to make it more efficient in terms of space
14:19: Solution to the variation of the problem
14:49: The recursive relationship for this problem (the variation)
15:08: A naive, INCORRECT recursive solution to this problem
15:50: A naive, CORRECT recursive solution to this problem
16:17: A naive, correct recursive solution in code
17:11: A dynamic programming / bottom-up approach
19:17: How to get daily coding problems like this one (go to

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The Catenary Problem and Solution

In this video, I solve the catenary problem. A catenary is a curve that describes the shape of a string hanging under gravity, fixed on both of its ends. Here, I determine the equation of the catenary for a uniform string with both ends fixed at the same height using the techniques of Variational Calculus (with constraints).

I begin by deriving the two integrals necessary to solve the constrained variation problem. The first integral is the constraint integral, according to which the length of the string is fixed. The second integral is formed by evaluating the total gravitational potential energy of the entire string (the functional to minimize).

After setting up the integrals, I create a composite functional K which includes my potential energy + (Lagrange multiplier)*(constraint integral). Applying the Euler-Lagrange equation/Beltrami Identity to K and solving the resulting differential equation gives me the equation for my catenary. Finally, I compute the 3 unknown constants in the catenary equation using the constraint and the two boundary conditions, and I show that the equation of a catenary takes the form of a hyperbolic cosine.

Questions/requests? Let me know in the comments!

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