Andi Gega
Andi Gega
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Modeling economics with differential equations
A young person with no initial capital invests k dollars per year at an annual rate of return r. Assume that investments are made continuously and that the return is compounded continuously.
a) Determine the sum S(t) accumulated at any time t.
b) If r=7.5% determine k so that $1 million will be available for retirement in 40 years.
c) If k=$2000/year, determine the return rate r that must be obtained to have $1 million available in 40 years.
Переглядів: 5 065

Відео

How to find the elongation on a cylindrical rod/bolt
Переглядів 2,4 тис.5 років тому
The coupling rod is subject to a force of 5 kip. Determine the distance d between C and E accounting for the compression of the spring and the deformation of the bolts. When no load is applied the spring is unstretched and has a diameter of 0.25 in. The plates A, B, and C are rigid and the spring has a stiffness of k= 12 kip/in.
Shear stress strain diagram
Переглядів 9 тис.5 років тому
The lap joint is connected together using a 1.25 in. diameter bolt. If the bolt is made from a material having a shear stress strain diagram that is approximated as shown, determine the permanent shear strain in the shear plane of the bolt when the applied force P= 150 kip is removed.
How to find the modulus of elasticity
Переглядів 29 тис.5 років тому
A bar having a length of 5 in. And cross-sectional area of 0.7 in^2 is subject to an axial load of 8000 lb. If the bar stretches 0.002 in., determine the modulus of elasticity.
Acceleration vs Deceleration
Переглядів 14 тис.5 років тому
Acceleration vs Deceleration
Normal and shear stress on a slanted cross-sectional area
Переглядів 13 тис.5 років тому
The board is subject to a tensile force of 200 lb. Determine the average normal and average shear stress in the wood fibers, which are oriented along plane a-a at 20 degrees with the axis of the board.
Allowable shear stress
Переглядів 10 тис.5 років тому
Determine the maximum magnitude P of the loads the beam can support if the average shear stress in each pin is not to exceed 80 MPa. All pins are in double shear, and each has a diameter of 18 mm.
Average shear stress
Переглядів 10 тис.5 років тому
If P=5kN, determine the average shear stress in the pins at A, B, and C. All pins are in double shear, and each has a diameter of 18mm.
Reaction and internal forces (Part 2)
Переглядів 2325 років тому
A beam is roller supported at A and pin-supported at B. The beam is subject to a counter clockwise moment at A, a distributed load on span AB, and a point load at C. a. Calculate the reaction forces at A and B b. Calculate the internal forces at mid-span of AB
Reaction and internal forces
Переглядів 7155 років тому
Statics and Mechanics of Materials A beam is roller supported at A and pin-supported at B. The beam is subject to a counter clockwise couple moment at A, a distributed load on span AB, and a point load at C. a. Calculate the reaction forces at A and B b. Calculate the internal forces at mid-span of AB

КОМЕНТАРІ

  • @FaaisoMahamud
    @FaaisoMahamud Місяць тому

    Acceleration is vector Deceleration is slacar ❤ right 😊

  • @haechansheels
    @haechansheels 4 місяці тому

    great video, my book didn't mention the relation between negative/positive acceleration and -ve/+ve deceleration but this video cleared my doubts

  • @rookie3315
    @rookie3315 5 місяців тому

    I fucking love you so much for this up to the point that if I were into men I'd marry you

  • @Ameriux_mn
    @Ameriux_mn 10 місяців тому

    Thank you so much!!! You explained this very clear and much better than my instructor!!

  • @e.asmerom3
    @e.asmerom3 11 місяців тому

    So clear and precise thank you sm!!!!

  • @MaryEmadHeshmatYoussefGeorgeYo

    great

  • @muhammadimran4047
    @muhammadimran4047 Рік тому

    E=28571428 psi in the video lecture means that the sample in question will break apart at this pressure?

  • @DeltaCain13
    @DeltaCain13 Рік тому

    What is the difference between Young's Modulus and the Elastic Modulus?

    • @roshanbhuta8302
      @roshanbhuta8302 7 місяців тому

      its the samething just different names

  • @joelromero8445
    @joelromero8445 Рік тому

    I don't understand why the area is 1/4 pi r ^2. Can someone explain why there's a 1/4 please?

    • @akshaycv398
      @akshaycv398 Рік тому

      Area of circle is pi/4 *diameter²

  • @nitenuc2341
    @nitenuc2341 Рік тому

    Thanks,fantastic explanation

  • @ultimateteoh7583
    @ultimateteoh7583 Рік тому

    If you still reading comments, thank you!

  • @owendeleon2245
    @owendeleon2245 Рік тому

    How did you find the area for the average shear stress equation?

  • @adigicocs8855
    @adigicocs8855 2 роки тому

    this looks really cool. I wish I took differential equations in college. probably would've helped me make more money in my career

    • @khayalethumakosi6678
      @khayalethumakosi6678 6 місяців тому

      I LOVE THIS COMMENT. DOING BCOM IN ECONOMICS AND STATISTICS , I WISH I DID THEM

  • @intrestingengineering1101
    @intrestingengineering1101 2 роки тому

    So helpful and easy method. Thank you 💗

  • @seabasschukwu6988
    @seabasschukwu6988 2 роки тому

    you’re very intriguing!

  • @nurhanieathirabintimohdsal1416
    @nurhanieathirabintimohdsal1416 2 роки тому

    I am from Malaysia. Thank you the videos very helpful :)))

  • @reiner.2238
    @reiner.2238 2 роки тому

    Thank you sooooooo much this helped a TON.

  • @amaarahadams903
    @amaarahadams903 2 роки тому

    This video is highly underrated. Simple explanation that cleared up so much confusion so me. Thank you 😊

  • @TheReaLucyFord
    @TheReaLucyFord 2 роки тому

    Thank you for the video! it helped a lot!

  • @ravmediagh800
    @ravmediagh800 2 роки тому

    Please is it a gradient

  • @christopherwms1
    @christopherwms1 2 роки тому

    can you work 3-5?

  • @alaynas2335
    @alaynas2335 2 роки тому

    thank you so much!!

  • @faizsyafiq4475
    @faizsyafiq4475 2 роки тому

    When finding moment at A, why does distance Fcb not required?

  • @lucarr404
    @lucarr404 3 роки тому

    Hi Good day, do you have an email? I have a problem that I would love for you to solve and explain it here in your channel. It's about Mechanics of materials. You make every problem very clear and easy to understand. Thank you!

  • @lucarr404
    @lucarr404 3 роки тому

    Awesome keep up the great work, your explanation is very clear Thanks a lot. Blessings!!!!

  • @rexd1624
    @rexd1624 3 роки тому

    could you tell me the cross sectional area formula if the given is 2 force. 160 Kn and 150 N/mm^2?

  • @brokenEngineerMathAndPhysics
    @brokenEngineerMathAndPhysics 3 роки тому

    I Subbed nice work mate keep It up. My Problem was when I was calculating the moment I summed 30P. (was the first equation I started with). And I was lazy so I used 30P with X and Y equations as well.

  • @sofias256
    @sofias256 3 роки тому

    this was a big help thank you!

  • @joshthompson2865
    @joshthompson2865 3 роки тому

    why didn't the y cause the sheer and the x cause the normal?

    • @quinn3008
      @quinn3008 2 роки тому

      I think it is because of the definition. Normal is perpendicular to the surface while shear is parallel to it

  • @michaelkerolos5371
    @michaelkerolos5371 3 роки тому

    really helpful! thanks

  • @josuetamayo8184
    @josuetamayo8184 3 роки тому

    Great! An excellent job and thank you for the explanation

  • @platoathens7583
    @platoathens7583 3 роки тому

    Why is the force from member BA not considered when calculating the shear stress for pin B?

  • @tayviandabbs2248
    @tayviandabbs2248 4 роки тому

    This is a Godsend. I was so lost until now

  • @shanest.germain9465
    @shanest.germain9465 4 роки тому

    Thank god I found this video. Directions where very clear 👍

  • @mikigami9442
    @mikigami9442 4 роки тому

    What if I dont have the Ao and lo

  • @bencoil5031
    @bencoil5031 4 роки тому

    when you were calculating in your calculator did you forget to square the .7?

    • @eme1030
      @eme1030 3 роки тому

      A little late but I hope it helps, but you dont actually square it as its inches squared which is a unit of area, you cancel out the 5 and .002 which are both measured in inches and leave lb/in^2 which leaves you with the end result of 28571428 PSI, as in pounds per square inch.

  • @arshecomics7994
    @arshecomics7994 4 роки тому

    Thank you ! I have a question though, when the car is having an negative acceleration, it means that the car is speeding up with the velocity and acceleration in the same way but just in the other side of the reference system ?

    • @lilmustybutt6726
      @lilmustybutt6726 2 роки тому

      Basically the same exact thing in the other direction

  • @industrialcraft6736
    @industrialcraft6736 4 роки тому

    Straight to the point clear and concise! great video.

  • @exorcist0019
    @exorcist0019 4 роки тому

    Thanks, it helps me to my project

  • @zahraabbas6426
    @zahraabbas6426 4 роки тому

    Car is slowing down toward right so deceleration should be -ve.car is slowing down towards left so deceleration should be +ve

  • @kaleemullah1407
    @kaleemullah1407 4 роки тому

    Nice ☺️

  • @Noway-116
    @Noway-116 4 роки тому

    Thank you so much! That helped me understand

  • @gulagulahmad4996
    @gulagulahmad4996 4 роки тому

    Thank you so much for the video, it was very helpful.

  • @ailemendickson1440
    @ailemendickson1440 4 роки тому

    Thanks

  • @MagicGenious
    @MagicGenious 4 роки тому

    Thanks

  • @tacianaoliveiraEE
    @tacianaoliveiraEE 4 роки тому

    You saved my life ♥️ thanks

  • @fatimashwaiheen5026
    @fatimashwaiheen5026 4 роки тому

    Thank you so much for the video.

  • @AAHAKIM-gc5fn
    @AAHAKIM-gc5fn 4 роки тому

    you're the best!!!!!

  • @amandadesouza3121
    @amandadesouza3121 5 років тому

    That was very helpful!!

  • @josephthomas3359
    @josephthomas3359 5 років тому

    Wouldn't FCB in x be 4/5*CB instead of 3/5*CB? Video was very helpful! Thank you!