Machine Design
  • Resources
  • Members
  • Directory
  • Webinars
  • WISE
  • CAD Models
  • Advertise
    • Search
  • 3D Printing & CAD
  • AUTOMATION & IIOT
  • Robotics
  • Motion Systems
  • Materials
  • Video
  • Data Sheets
  • Topics
    Industry Markets3D Printing & CADAutomation & IIoTFastening & JoiningMaterialsMechanical & Motion Systems Medical DesignRobotics
    Resources
    Machine Design ResourcesWISE (Workers in Science & Engineering)Company DirectorySearch Data SheetsContributeDigital Edition ArchivesCSIA Exchange
    Members
    ContentBenefitsSubscribe
    Advertise
    https://www.facebook.com/MachineDesignMagazine/
    https://www.linkedin.com/company/10998894
    https://twitter.com/MachineDesign
    https://www.youtube.com/channel/UCXKEiQ9dob20rIqTA7ONfJg
    Machinedesign 1656 Letter Recommendation596 0 0
    1. Automation & IIoT

    Fun With Fundamentals: Problem 194

    May 1, 2000
    Putting two and two together can give you a variety of answers, as this month’s problem by Walter Gregg of Chicago demonstrates
    Motion System Design

    Letter of recommendation

    Motionsystemdesign Com Images Letter Of Recommendation596

    Problem 194 — Putting two and two together can give you a variety of answers, as this month’s problem by Walter Gregg of Chicago demonstrates.

    The agile spy once again leaped out of sight (See PTD June ’95.) as Detective Inspector Schnoop bent over his fallen comrade. The wounded officer could only gasp, “One plus two plus four equals seven! One plus two plus four equals seven!”

    “Smedley, who was he?”

    “One plus two plus four equals seven!” The officer then fell unconscious. Schnoop had been on the case for six months. He had tracked down the bank through which the money had been funneled and had learned that millions had been deposited that very day. All he needed was the account number to begin tracing where the money came from. Earlier in the day, the officer had taped a call from the spy, “ ... are eight. One plus two plus four equals seven.”

    Schnoop had a feeling of deja vu and wrote: R = 8. He then wrote down the following:

    Motionsystemdesign Com Images One596

    If each leter stands for a unique number between 0 and 9, inclusive, what was the account number?

    Technical consultant, Jack Couillard, Menasha, Wis.

    Solution to last month’s problem 193 — You know the right angle if you answered 29.4 ft. Here’s how Stinnt’s foundation grant ran out:

    Draw a diagram and label it. Let x be the width of the floor. Since Triangle BDE and Triangle ABE are right triangles,

    Motionsystemdesign Com Images Fun Equ 1 596

    Triangle DCE and Triangle ABC are similar triangles with equal angles. The following relationships apply:

    Motionsystemdesign Com Images Fun Equ 4 596

    Substituting (4) and (5) into (6):

    Motionsystemdesign Com Images Fun Equ 7 596

    Continue on page 2

    Since (AB)2 – 9 (DE)2 = 675 in (3) we can construct a right triangle as follows:

    Motionsystemdesign Com Images Fun Equ 11 596

    Using a trigonometry table, you can scan down the columns adding sines and tangents. At 60 deg the sine and tangent add up to 2.598. Now, from the triangle in (11):

    Motionsystemdesign Com Images Fun Equ 12 596

    The scene behind the set was more colorful than the scene in front!

    Contest winner — Congratulations to Alan Smith of Lexington, Ky., who won our March contest by having his name drawn from the 296 contestants who answered correctly out of a total of 356 entrants for that month. A TI-85 calculator is in the mail to him.

    The TI-85 Graphing Calculator from Texas Instruments solves for any variable in an equation, can solve 30 simultaneous equations, and finds the roots of a polynomial up to the 30th order. It handles complex numbers in addition to matrices, vectors, lists, and strings. You can perform graphic investigations of almost any type of problem — functions as well as parametric, polar, and differential equations.

    Related Article

    Fun With Fundamentals: Problem 193

    Continue Reading

    Big Tech & Big Ideas Permeate Industrial Thinking in 2023

    5 Common Machining Mistakes to Avoid

    Sponsored Recommendations

    Smart Factory Solutions that Connect and Protect from Amphenol RF

    Nov. 28, 2023

    Stay Connected and In Control of Your Future Factories with Littelfuse

    Nov. 28, 2023

    Turn to NKK Switches for the Widest Range of Industrial-Savvy Electromechanical Switches

    Nov. 28, 2023

    Unlocking Operational Flexibility in Manufacturing with Industria IoT

    Nov. 28, 2023

    Voice your opinion!

    To join the conversation, and become an exclusive member of Machine Design, create an account today!

    I already have an account

    New

    Deliver Robust Automated Systems Through Servo Maintenance

    How a Connected World Requires Product Adaptation and Faster Time-to-Market

    A Technology Upgrade for Trucking Chicken Lights

    Most Read

    Brushed vs Brushless Motors: Which is Best for your Application?

    How Much Should a Bolted Joint be Tightened?

    Why it’s Time to Replace Hydraulic and Pneumatic Actuators with Electric Cylinders

    Sponsored

    Keyed Solenoid Locking Safety Switches

    Capacitive Sensors

    Schmersal Product Demo: SLC BLE

    Machine Design
    https://www.facebook.com/MachineDesignMagazine/
    https://www.linkedin.com/company/10998894
    https://twitter.com/MachineDesign
    https://www.youtube.com/channel/UCXKEiQ9dob20rIqTA7ONfJg
    • About Us
    • Contact Us
    • Advertise
    • Do Not Sell or Share
    • Privacy & Cookie Policy
    • Terms of Service
    © 2023 Endeavor Business Media, LLC. All rights reserved.
    Endeavor Business Media Logo