What is the correct component force along the axis of the hook?

Click For Summary

Homework Help Overview

The problem involves determining the component force along the axis of a hook, with specific attention to the geometry and angles involved in the setup. The context includes an incline with a defined slope ratio and a screw eye positioned at an angle relative to the horizontal and vertical axes.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the correct angles related to the incline and the screw eye, questioning the original poster's calculations and assumptions about the geometry. There are attempts to clarify the relationship between the angles and the forces involved.

Discussion Status

There is ongoing exploration of the angles and their implications for the calculations. Some participants have provided guidance on re-evaluating the geometry, while others are working through the implications of coordinate system rotations on their calculations. Multiple interpretations of the angles are being discussed.

Contextual Notes

Participants note the specific slope ratio of 4v:3h and the potential confusion regarding the angles made by the screw eye with respect to the horizontal and vertical axes. There is acknowledgment of the need to clarify these angles to resolve the calculations accurately.

jgreen520
Messages
9
Reaction score
0
I worked out the attached problem. I was just looking for a logic check on my work. The problem asks you to find the component force along the axis of the hook.

Thanks
 

Attachments

  • 2013-01-19_13-43-20_150.jpg
    2013-01-19_13-43-20_150.jpg
    25.7 KB · Views: 474
Physics news on Phys.org
Your geometry and trig is off...recheck the angle. If the incline slopes at 4v:3h, then the screw eye slopes at ?
Then properly determine the angle of the screw eye with the horizontal. Your calc for Fy would them be ok, as long as you realize that Fy lies along the axis of the screw eye which is the y axis, not vertically as you have shown.
 
Yes you are correct, the angle is supposed to be 53.13 degrees from the horizontal. That makes the angle between the resultant force (150 lbs) and the axis of the eye 28.13 degrees.

However my Fy calculation now seems to give me the wrong answer...I rotated the coordinate system which I think is giving me the problem.
 
jgreen520 said:
Yes you are correct, the angle is supposed to be 53.13 degrees from the horizontal. That makes the angle between the resultant force (150 lbs) and the axis of the eye 28.13 degrees.

However my Fy calculation now seems to give me the wrong answer...I rotated the coordinate system which I think is giving me the problem.
you still have the wrong angle. It is given that the slope of the incline is 4v:3h, is that correct? If so, the slope of the screw eye is not the same as the slope of the incline.
 
Yes the 4v and 3h is given in the problem. Inverse Tan gives you 53 degrees from the horizontal.
 
jgreen520 said:
Yes the 4v and 3h is given in the problem. Inverse Tan gives you 53 degrees from the horizontal.
What I am trying to point out is that the screw eye does not make an angle of 53 degrees with the horizontal, it makes an angle of 53 degrees with the vertical. So the angle it makes with the horizontal is about 37 degrees. Redo the geometry.
 
...I found the mistake I was making. Just needed to extend the axis line of the hook to the vertex of the slope triangle to get the correct angle. Which ends up giving me a component force of 147 lbs which is the correct answer.

Thanks!
 

Similar threads

Understanding Forces and their Vector Components
  • · Replies 8 ·
Replies
8
Views
1K
Correct approach in resolving a force into its different components
  • · Replies 4 ·
Replies
4
Views
2K
Calculate the gravitational force between these three masses
  • · Replies 4 ·
Replies
4
Views
913
Struggling to make relation between elastic force and height
  • · Replies 11 ·
Replies
11
Views
2K
Torque biomechanics
  • · Replies 6 ·
Replies
6
Views
2K
Two blocks in contact -- find the force between them
  • · Replies 14 ·
Replies
14
Views
3K
Calculate electric force using Coulomb's law (vector components are the struggle)
  • · Replies 3 ·
Replies
3
Views
2K
How do we know the point of 0 electric field is on the axis?
  • · Replies 3 ·
Replies
3
Views
1K
What is the Correct Angle for Tension Force in Arm Mechanics?
  • · Replies 2 ·
Replies
2
Views
2K
Force pulling on a string at an angle with a block at the other end
  • · Replies 2 ·
Replies
2
Views
2K