Moment Equilibrium in terms of box weight

Click For Summary
SUMMARY

The discussion focuses on determining the magnitudes of forces at points A, B, and C on a board held in equilibrium by three smooth rods. The forces are calculated in relation to the weight of the body, denoted as W. The participants clarify that the moment equation, defined as Moment = f*r, is essential for solving the problem, with distances from the point of rotation influencing the direction and magnitude of forces at each point. The final answer should express the forces at A, B, and C as multiples of W.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with moment calculations in physics
  • Knowledge of force distribution in mechanical systems
  • Ability to interpret and analyze free-body diagrams
NEXT STEPS
  • Study the concept of torque and its application in static equilibrium
  • Learn about free-body diagram techniques for analyzing forces
  • Explore the relationship between force, distance, and moment in mechanical systems
  • Review examples of equilibrium problems involving multiple forces and points of rotation
USEFUL FOR

Students in physics or engineering courses, mechanics enthusiasts, and anyone involved in analyzing static structures and forces.

Blobikins
Messages
25
Reaction score
0

Homework Statement



The board shown below is being held in equilibrium in the vertical plane by three smooth rods at A, B, and C
Determine the magnitudes of forces at A, B, and C in terms of the weight of the body, W.

Homework Equations


Moment = f*r

Here's a diagram
_m5b_assess_q4_image2.png

The Attempt at a Solution


I'm assuming the point of rotation is in the middle, at 'W'

So, B will be 25mm away, pushing clockwise
A, 10 mm away pushing clockwise
C 20 mm away pushing CCW.

I don't exactly get what they mean by 'In terms of the weight of the body 'W'" , because W is outside of the input section, and it only accepts numbers into the blank. Thank you.
 
Physics news on Phys.org
Blobikins said:
I don't exactly get what they mean by 'In terms of the weight of the body 'W'" , because W is outside of the input section, and it only accepts numbers into the blank. Thank you.
The forces that must be applied at A, B, and C will depend upon the weight of the board, W. So presumably you are expected to answer in terms of some numerical value times W.
 
  • Like
Likes   Reactions: scottdave

Similar threads

Statics 2D Equilibrium Problem
  • · Replies 2 ·
Replies
2
Views
3K
Statics Homework: Finding Tension and Force in a Walkway Supported by Rollers
  • · Replies 3 ·
Replies
3
Views
2K
Buoyancy-Volumne & Specific Weight of Submerged Mass
  • · Replies 2 ·
Replies
2
Views
2K
Mastering 3D Statics: How to Solve Moments and Forces for Bearings A and B
  • · Replies 1 ·
Replies
1
Views
3K
Name of equilibrium when ∑Fx and Fy = 0 but there's still a moment (statics)
  • · Replies 1 ·
Replies
1
Views
6K
To find the weight of a hemisphere
  • · Replies 13 ·
Replies
13
Views
2K
Finding Reaction Forces in 3D Equilibrium: Solving a Tricky Bent Rod Problem
  • · Replies 1 ·
Replies
1
Views
5K
A problem in rigid bodies equillibrium
  • · Replies 3 ·
Replies
3
Views
3K
Statics problem (moment and equilibrium)
  • · Replies 6 ·
Replies
6
Views
3K
Engineering Statics Equilibrium System Question
  • · Replies 4 ·
Replies
4
Views
2K