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Determine the tension in cable CAD and the angle u which the cable makes at the pulley

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  • čas přidán 18. 10. 2016
  • The man attempts to pull down the tree using the
    cable and small pulley arrangement shown. If the tension in
    AB is 60 lb, determine the tension in cable CAD and the
    angle u which the cable makes at the pulley. Get the book: amzn.to/2h3hcFq

Komentáře • 50

  • @ethantanner1693
    @ethantanner1693 Před 3 lety +86

    I think this man single handedly saved every engineering undergrad ever

    • @FinalAnswer
      @FinalAnswer  Před 3 lety +31

      I wished so much somewhere was there for me thats why i do this on my free time

    • @briangamboa1275
      @briangamboa1275 Před 3 lety +6

      @@FinalAnswer hey man, youre doing great and i cannot thank you enough for helping me through my courses.
      Is there any way to support your work?

  • @alexbeaulieu2287
    @alexbeaulieu2287 Před 3 lety +7

    my guy your videos are going to be timeless your helping out a 2020 engineering student and eventually will be helping out 2030 engineering students friggin legend

  • @hunterwehr8457
    @hunterwehr8457 Před 6 měsíci +1

    It’s 2024 and i feel blessed by the gods to have come across this legend

  • @yesithapalihawadane2950
    @yesithapalihawadane2950 Před 5 lety +6

    You are a hero for the MECH 1E Group from BCIT.

  • @ryanwhite7185
    @ryanwhite7185 Před 5 lety +6

    I followed the video to a T and checked my math 4 times and got it wrong

  • @michaelbabcock420
    @michaelbabcock420 Před 4 lety +7

    On FBD adjust the coordinate system so x' is along FB. Since FB is 30 degrees above horizontal, and FAD is 20 degrees above the horizontal, you know that FAD will be below x' 10 degrees. Clarifying, FAD and FAC are just T. Then we have FAC at u above x'. (u= theta - 10) Sum forces in x, 60-Tcosu-Tcos(10)=0. sum forces in y, Tsinu-Tsin(10)=0. We find u = 10 degrees, so theta must be 20 degrees. so 60=T(cos(10)+cos(10)), T=30.46 lb. Let me know if there is a flaw in this method as I made it myself.

    • @brendanjeans4423
      @brendanjeans4423 Před 3 lety +2

      this helped way more than the video thanks mate

    • @skyr6762
      @skyr6762 Před rokem +2

      way way better than the mess in that video lol. TY!

    • @michaelbabcock420
      @michaelbabcock420 Před rokem

      @@skyr6762 Glad I could help. Keep on pursuing engineering, I just graduated in May and have a job already. I'm assuming you just passed Statics. Get that Fluid Mechanics book early and fuck chegg.

    • @noahs.1091
      @noahs.1091 Před 10 měsíci

      This makes SO much more sense. Thank you so much!

  • @anjellytoe
    @anjellytoe Před 6 lety +5

    where does he get .120 from?? 7:30 - 8:30

  • @nickopedia5669
    @nickopedia5669 Před 5 lety +1

    I would recommend restricting your line width so it doesn't get fat when you press down, assuming your program allows that.
    It would really help improve the legibility of your process. (thankfully you have a nice, easy to understand voice so it doesn't matter too much but it would still be good).

  • @joegarciaism
    @joegarciaism Před 5 lety +2

    is there a way you can solve this by using matrices?

  • @mohammadhamdan4156
    @mohammadhamdan4156 Před 5 lety

    what will happen if I divide formula 1 over 2;thanks

  • @billytrinh8918
    @billytrinh8918 Před 7 lety +21

    How did you get .694 sqrt(3) sin(phi) from squaring both sides of the equation? 7:19 - 8:08

    • @Al41_42
      @Al41_42 Před 6 lety +2

      He adds .347+.347 to get .694 and multiplied it by square root of 3 to give him 1.2

    • @edgarmoriel7744
      @edgarmoriel7744 Před 6 lety

      why does he want 1.2?

    • @Al41_42
      @Al41_42 Před 6 lety +1

      Edgar Moriel He wants 1.2 to use to quadratic formula to give him theta if you see its 1.2x so in the quadratic formula b= 1.2

    • @HarisRazzaq
      @HarisRazzaq Před 4 lety +1

      @@Al41_42 where did he get an extra sin(phi) from in the middle term when squared both sides of the equation. that makes no sense to me.

    • @taco_taco
      @taco_taco Před 4 lety +4

      @@HarisRazzaq I'm not sure how he got the extra sin either but an easy way I found to do this problem is draw the Free body diagram and split theta angle in half by drawing a line from point B through point A and to the tree. Then set 20 + (theta/2) = 30, theta would then equal 20 degrees and your phi angle would be 40 degrees. Hope this helps

  • @Tymy_2
    @Tymy_2 Před 3 lety

    You are a real one my guy

  • @eugine3415
    @eugine3415 Před 2 lety

    Thank YOU

  • @darkrose6827
    @darkrose6827 Před 4 lety

    Thanks

  • @estergrant6713
    @estergrant6713 Před 2 lety

    still couldnt get it so idk i guess i am not understanding. i cant see where i am messing up

  • @pamudithayasas9240
    @pamudithayasas9240 Před 3 lety

    Thanks a lot!!

  • @dikkodikko6262
    @dikkodikko6262 Před 11 měsíci

    such a fat problem this one. Thank you!

  • @Rubioacarlos
    @Rubioacarlos Před 7 lety

    How did you get sqrt(3) by dividing 52/30 6:56/11:26

    • @alissonfrangullys
      @alissonfrangullys Před 7 lety

      If you do on the calculator sqrt of 3, and compare with 52/30, will have very close numbers, so this is an approximation to don't keep writing the same small number (1.73~3).

  • @dapnerita
    @dapnerita Před 3 lety

    Thank youuu.🤗🤗

  • @josearvizu3572
    @josearvizu3572 Před 7 lety

    How did you get -51.96 at the very start?

    • @pwandi3168
      @pwandi3168 Před 6 lety

      60(cos 30) = 51.96.... then subtract 51.96 from both side

  • @zionsinkala9856
    @zionsinkala9856 Před 2 lety

    Make sure you write big and clear things

  • @micogeolo8602
    @micogeolo8602 Před 2 lety

    thanks for saving me :)

  • @mrskywalker6114
    @mrskywalker6114 Před 7 lety

    What if my numbers dont work out as nicely!? =( I cant factor them

    • @matthewclark4405
      @matthewclark4405 Před 7 lety

      he didn't factor? he used quadratic formula

    • @gizzy977
      @gizzy977 Před 7 lety +1

      This is very well explained but it is also very ardous and that makes it easier to make mistakes. If you shift the axis, you can figure out a different angle and a clearer way to solve the problem without too much algebra. Here is the same problem solved a bit differently. Just scroll down until you get to that solution. openstudy.com/updates/57e48807e4b0df404bff6342

  • @Betooo23
    @Betooo23 Před 7 lety

    why did you set the equations equal to each other?

  • @jp23x
    @jp23x Před 6 lety

    i breezed through chapter 2, could do almost any problem. then instantly stuck on chapter 3. fuck my life.

  • @timothyjohnservilla1099

    But the Unit of “Tension” is Newton

    • @b3dubbs72
      @b3dubbs72 Před 4 lety

      Lbs force is also a valid unit

  • @user-tn7en3gi3o
    @user-tn7en3gi3o Před 11 měsíci

    i love you

  • @dWRECk2134
    @dWRECk2134 Před 3 lety +2

    horrible explanation 7:12 - 9:12

  • @EastNBuLLsmr
    @EastNBuLLsmr Před 7 lety

    MVP!

  • @Reece8u
    @Reece8u Před 5 lety

    Why is your starting equation
    60cos(30) - Tcos(20) - Tcos(theta) = 0
    instead of
    60cos(30) - Tcos(20) - Tcos(20 + theta) = 0
    Shouldn't the angle of the upper rope be calculated from the ground, not the other rope?

    • @ExoTicHOAX
      @ExoTicHOAX Před 4 lety

      He uses phi which is 20 +theta. He defined it in the first couple minutes

    • @FranzitCantonnn
      @FranzitCantonnn Před 10 měsíci

      @@ExoTicHOAX I know this was 3 years ago but is it okay to use theta + 20 instead of "phi" to avoid confusion??