Ask Question
4 September, 19:00

A large ship is being towed by two tugs. The larger tug exerts a force which is 20 percent greater than the smaller tug, and at an angle of 35 degrees south of west. Which direction must the smaller tug pull to ensure that the ship travels due west?

+4
Answers (1)
  1. 4 September, 21:39
    0
    direction is 43.495 degrees south of west.

    Explanation:

    given data

    larger tug exert force = 20 percent greater than smaller tug

    angle = 35 degrees south of west

    solution

    The smaller tug must pull in south west direction at angle that from north - south component of 2 force that cancel each other out

    we take smaller tug is pulling with a force F

    so

    Smaller tug express as = F sin (α)

    and

    Larger tug is (F + 0.20 F) sin (35 degrees) < 20% larger than smaller tugboat and 0 degree direction is directly west

    so here we can say

    Smaller tug + Larger tug = Fsinα + (F + 0.20 F) sin (35) = 0

    here α angle is going to be south of west

    so it will be a negative angle.

    and

    now we Divide F of the entire equation so

    it will be as

    sinα + (1 + 0.20) sin (35) = sinα + 0.6596 = 0

    sinα + 0.6883 = 0

    sinα = - 0.6883

    α = - 43.495 degree

    so direction is 43.495 degrees south of west.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A large ship is being towed by two tugs. The larger tug exerts a force which is 20 percent greater than the smaller tug, and at an angle of ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers