What is the angle [theta] for the tug B in the given diagram?

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Homework Help Overview

The problem involves two tugs, A and B, pulling a ship along a specified direction, with tug A applying a force at a known angle and tug B's angle being the unknown to determine. The context is related to vector components and equilibrium of forces.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the forces applied by the tugs and their components, with one participant attempting to use a ratio to find the unknown angle. Others suggest equating the y-components of the forces to find the angle.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the use of force components, but there is no explicit consensus on the approach to take.

Contextual Notes

There is a question about the definitions of the components being referenced, particularly whether they are horizontal or vertical, indicating some ambiguity in the problem setup.

fs93
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Homework Statement


I've got a diagram but here's the question.
Two tugs A and B pull a ship along the direction XO.
Tug A pulls the ship with a force of 30kN at an angle of 15°.
Tug B pulls the ship with a force of 18kN at an angle of [theta]

Find the angle [theta]


Homework Equations





The Attempt at a Solution


I've tried creating a ratio to find the value [theta].
30/15=18/x
x=9°

But I don't think that's right as it doesn't seem logical.

Any suggestions ? :)
 
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Since the ship is moving along XO direction due to forces, their y components must cancel each other. Find the y-component of 30kN and 18 kN and equate them.
 
Last edited:
rl.bhat said:
Sine the ship is moving along XO direction due to forces, their y components must cancel each other. Find the y-component of 30kN and 18 kN and equate them.

Their y components as in horizontal components? And by equate them, what do you mean?
 
fs93 said:
Their y components as in horizontal components? And by equate them, what do you mean?
In the given problem if XO represents the x-axis, then the vertical components must get canceled out.
 

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