Moment Equilibrium in terms of box weight

In summary, the forces at points A, B, and C in order to hold the board in equilibrium can be determined by using the equation Moment = f*r, with point W as the rotation point. The forces at A, B, and C will depend on the weight of the board, W, and should be expressed in terms of a numerical value times W.
  • #1
Blobikins
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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.
 
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  • #2
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.
 
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1. What is moment equilibrium in terms of box weight?

Moment equilibrium in terms of box weight refers to the balance of forces acting on a box, where the sum of the clockwise moments (torques) is equal to the sum of the counterclockwise moments. This results in a net moment of zero and a stable equilibrium for the box.

2. How is moment equilibrium related to the weight of a box?

Moment equilibrium is directly related to the weight of a box because the weight of the box is one of the forces acting on it. In order for moment equilibrium to be achieved, the weight of the box must be balanced by an equal and opposite force.

3. What are the factors that affect moment equilibrium in terms of box weight?

The factors that affect moment equilibrium in terms of box weight include the weight of the box, the distance of the weight from the pivot point, and the magnitude and direction of other forces acting on the box.

4. How is moment equilibrium calculated in terms of box weight?

Moment equilibrium is calculated by multiplying the force acting on the box by the distance of that force from the pivot point. This is done for each force acting on the box and the resulting moments are summed together. If the total sum is zero, then moment equilibrium has been achieved.

5. Why is moment equilibrium important in terms of box weight?

Moment equilibrium is important because it ensures the stability and balance of the box. If moment equilibrium is not achieved, the box may tip over or move, potentially causing damage or injury. It is also a fundamental concept in physics and engineering, and is used to analyze and design structures and systems.

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