Calculate Moment Across Board w/ 3 Roller Pins & Weight

AI Thread Summary
To determine the tipping point of a board supported by three roller pins, the moment must be calculated around the pivot point, which is the roller closest to the box of weight W. The weight of the board, uniformly distributed, acts at its midpoint, which is critical for calculating torque. The distance from point C to the box must be adjusted based on the combined moments from the board's weight and the box's weight. Understanding the distribution of the board's weight and its pivot point is essential for accurate calculations. Properly assessing these factors will help find the necessary distance for the box to cause the board to tip.
REM683
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I have a problem with a board laid across 3 roller pins each spaced out x feet. Past point C is another X feet with a box of W Weight. I need to the distance the box needs to be from point C for the board to tip/rotate.

I was thinking of calculating the moment across the entire length of the board but was not exactly sure. Also how would I take into consideration the weight of the board?

Thanks
 
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REM683 said:
I was thinking of calculating the moment across the entire length of the board but was not exactly sure.
Not sure what you mean. When the board starts to tip, about which roller will it pivot? Use that point as your axis for measuring torques.
Also how would I take into consideration the weight of the board?
The weight of the board can be considered to act at what point?
 
The 15 foot boards mass is uniformly distributed with 10 feet of the board to the left and 5 feet to the right of the pivot point. The box being on the right distance x.
 
REM683 said:
The 15 foot boards mass is uniformly distributed
What does that tell you about where the board's weight acts?
 

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