Unlocking 3D Equilibrium and Moments

Click For Summary
SUMMARY

The discussion focuses on solving a 3D equilibrium problem involving forces and moments, specifically addressing a scenario with a fixed end and six unknowns (Ax, Ay, Az, Max, May, Maz). The participant struggles with a force magnitude constraint of 970N, which must be resolved into i and j components. The correct approach involves applying the sum of forces in the x, y, and z directions, as well as calculating moments using the cross product. The participant seeks clarification on handling the force's magnitude effectively to arrive at the correct solution.

PREREQUISITES
  • Understanding of 3D equilibrium principles
  • Knowledge of vector decomposition in Cartesian coordinates
  • Familiarity with calculating moments using the cross product
  • Proficiency in applying static equilibrium equations
NEXT STEPS
  • Study the application of static equilibrium equations in 3D systems
  • Learn vector decomposition techniques for forces in multiple dimensions
  • Explore the use of the cross product in calculating moments
  • Review examples of fixed-end problems in structural analysis
USEFUL FOR

This discussion is beneficial for engineering students, particularly those studying mechanics or structural analysis, as well as professionals involved in static equilibrium and force analysis in three-dimensional systems.

Oblivion77
Messages
113
Reaction score
0
3D Equilibrium(and Moments)

Homework Statement



29xw5j6.jpg


Homework Equations



Sum of the forces in x=0
Sum of the forces in y=0
Sum of the forces in z=0
Sum of Moments (at a point) =0 (of x,y,z)

The Attempt at a Solution



Since it is a fixed end there is 6 unknowns right at the origin (Ax, Ay, Az, Max, May, Maz). It also states that the the force is parallel to the XY plane so I take it there is no k component of the force. The only problem I am having is with the force it says "its magnitude will not exceed 970N". I tried breaking up the 970N into i and j components using the coordinates given and calculating the moment about the origin using cross product, but I got the wrong answer. I know how to solve the problem, but the force is throwing me off.

Any hints would be nice, thanks!
 
Last edited:
Physics news on Phys.org
Anyone have any ideas? Sorry for the rush, but this question is killing me.
 

Similar threads

Equilibrium problem: Multiple forces acting on this hinged, supported beam
  • · Replies 3 ·
Replies
3
Views
1K
To what extent does this system behave as a pendulum?
  • · Replies 1 ·
Replies
1
Views
1K
What is the Correct Angle for Tension Force in Arm Mechanics?
  • · Replies 2 ·
Replies
2
Views
2K
Shear Force on Bolts mounting gearbox to engine
  • · Replies 1 ·
Replies
1
Views
2K
Statically Indeterminate Truck - Finding reaction forces at supports
  • · Replies 8 ·
Replies
8
Views
3K
Force in the legs of a hexagonal table
  • · Replies 2 ·
Replies
2
Views
1K
Friction - problem with one of the equilibrium equations
  • · Replies 13 ·
Replies
13
Views
2K
Stabilizer Leg Linear Actuator Force to Jack up a Truck's rear tyres
  • · Replies 4 ·
Replies
4
Views
2K
Statics: Problem about Equilibrium in 3-dimensions
  • · Replies 2 ·
Replies
2
Views
4K
Statics: Equilibrium in 3-Dimensions
  • · Replies 9 ·
Replies
9
Views
4K