Question About a 3D Equilibrium Problem

  • Thread starter Thread starter lc99
  • Start date Start date
  • Tags Tags
    3d Equilibrium
Click For Summary
SUMMARY

The discussion focuses on calculating the moment of a 50 lb force about the x, y, and z axes in a 3D equilibrium problem. The user performed a cross product of the vector from the origin to the wheel and the force vector, resulting in a moment vector of (7.07k - 7.07j - 5.3i). However, the answer key indicates a moment about the x-axis of 7.5, prompting the user to seek clarification on their calculations and the impact of belt tension on torque.

PREREQUISITES
  • Understanding of vector cross products in 3D space
  • Familiarity with equilibrium conditions in mechanics
  • Knowledge of torque and its calculation
  • Basic principles of forces and moments in physics
NEXT STEPS
  • Review vector cross product calculations in 3D mechanics
  • Study the principles of torque and its relationship with tension forces
  • Learn about equilibrium conditions and their applications in mechanical systems
  • Examine examples of similar 3D equilibrium problems for practice
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and equilibrium problems, as well as educators seeking to clarify concepts related to forces and moments in 3D systems.

lc99
Messages
161
Reaction score
3

Homework Statement



upload_2018-3-26_23-4-41.png

Homework Equations

The Attempt at a Solution


rxF
I'm trying to find the moment of the 50lb about the x,y,z axes. So, i did the vector from the origin to the top of the larger wheel crossproduct with the force vector of 50.

Thus, Vector Origin to Wheel x F vector = (0.2i +0.15k) x (50cos45j + 50sin45k) = 7.07k -7.07j - 5.3i

However, in the answer key, the moment about the x-axis isn't 5.3 but 7.5? What did i do wrong?
 

Attachments

  • upload_2018-3-26_23-4-41.png
    upload_2018-3-26_23-4-41.png
    15.5 KB · Views: 1,204
Physics news on Phys.org
The difference in belt tension on A, is a torque on the shaft.
That torque makes it possible to calculate T in Newton in the y direction.
What value do you get for the belt B tension force T ?
 

Similar threads

Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 3 ·
Replies
3
Views
7K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
7K
  • · Replies 2 ·
Replies
2
Views
20K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
4K