1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Static Case Study

  1. Oct 12, 2008 #1
    Hi, My name Ricky, Indonesia. I am newber in this section. So, I am sorry if my question might be wrong location.
    1. The problem statement, all variables and given/known data
    * The thrust F of each propeller is 1000 lb.
    * The thrust directions are described by the angles
    α = 10°
    β = 5°
    γ = 20°
    For more detail you can see in : https://ecourses.ou.edu/cgi-bin/ebook.cgi?doc=&topic=st&chap_sec=02.3&page=case_intro

    Ask : What is the total thrust (force) on the boat in Cartesian components after the driveshaft was bent?

    2. Relevant equations
    Fx = F sinφ cosθ
    Fy = F sinφ sinθ
    Fz = F cosφ

    3. The attempt at a solution

    https://ecourses.ou.edu/cgi-bin/ebook.cgi?doc=&topic=st&chap_sec=02.3&page=case_sol

    For Normal Force :
    F1x = F sinφ1 cosθ1
    = 1000 sin90 cos175 = -996.2 lb
    F1y = F sinφ1 sinθ1
    = 1000 sin90 sin175 = 87.2 lb
    F1z = F cosφ1
    = 1000 cos90 = 0 lb

    Vector F1 can be written in Cartesian notation as

    F1 =-996.2i + 87.2j + 0k lb

    For Bent Force :
    φ' = tan^-1 (tan α cos γ) = 9.41 degree
    φ = 90 - φ' = 80.59 degree

    θ2 = 200
    φ2 = 80.59

    F2x = F sinφ2 cosθ2 = -927.0 lb
    F2y = F sinφ2 sinθ2 = -337.4 lb
    F2z = F cosφ2 = 163.5 lb

    Vector F2 can be written in Cartesian notation as

    F2 =-927.0i - 337.4j + 163.5k lb

    For Total Force :
    FT = F1 + F2

    = -1923.2i - 250.2j + 163.5k

    My question are : (For Bent Force)
    1. What is the basic concept to change the degree?
    2. Why is the equation/formula should be spherical not just Fx = cos α?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Static Case Study
  1. Statics problem (Replies: 0)

  2. Static Electricity (Replies: 0)

  3. Static Equilbrium (Replies: 0)

Loading...