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Weight / Fulcrum problem 
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#1
Oct2604, 09:54 AM

P: 2

Hi,
I am a nonphysics type that needs an answer to a fairly simple physics problem (but too complex for me). I need to know where to place a weight on a trailer to arrive at a specific tongue weight (weight at the hitch). I hope the diagram below is clear. < 48" >  W  H  A  E < 96" > < 64" > Notes: Line H/A/E is the trailer. W represents a 1600 lb weight that is 48" wide and is centered over the axle. The trailer is perfectly balanced at this point (no weight at point H). H represents the trailer hitch. A represents the axle (fulcrum). E represents the end of the trailer. The distance from H to A is 96". The distance from A to E is 64". PROBLEM: How far would the weight (W) need to be moved to the left to arrive at a tongue weight (weight at point H) of 250 lbs? I hope someone can figure this out. I am stumped. Thanks in advance. Jody 


#2
Oct2604, 03:26 PM

Mentor
P: 7,320

The torque about the axels must be the same at all points on the trailer so the force * distance is the same at all points. x is the location of the center of your load.
[tex] 1600 x = 250 * 96 [/tex] [tex] x = \frac {250lb * 96in} {1600lb} = 15in [/tex] 


#3
Oct2604, 05:21 PM

P: 2

That's a big help to me!



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