Static force equilibrium problem involving simply pully syst

AI Thread Summary
The discussion revolves around a mechanics problem where a student uses a scale and a spring dynamometer to determine his weight. When the dynamometer reads 19 lbs, the scale shows 96 lbs, prompting the need to calculate the student's actual weight. Participants emphasize the importance of correctly applying the static force equilibrium equation, ΣF=0, and only considering relevant forces acting on the system. There is a mention of confusion regarding the forces involved, particularly the tension and weight interactions. The thread highlights the necessity of careful analysis in static equilibrium problems to arrive at the correct solution.
J-dizzal
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Homework Statement


A former student of mechanics wishes to weigh himself but has access only to a scale A with capacity limited to 120 lbs and a small 20-lb spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that B registers 19 lb, the scale A reads 96 lb. What is his correct weight?
[/B]
http://edugen.wileyplus.com/edugen/courses/crs7925/art/qb/EAT_1314936802947_0_5416955130664096.jpg

Homework Equations


ΣF=0

The Attempt at a Solution


20150703_115323_zpsnkhqktuf.jpg
 
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Take more care to only add all the forces acting on an object. If a weight is only acting through a tension, then you add only the tension not the weight too.
 
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Dr. Courtney said:
Take more care to only add all the forces acting on an object. If a weight is only acting through a tension, then you add only the tension not the weight too.
yes of course. ΣFy= -19-96+4TB-TA=0 thanks Dr
 
J-dizzal said:

Homework Statement


A former student of mechanics wishes to weigh himself but has access only to a scale A with capacity limited to 120 lbs and a small 20-lb spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that B registers 19 lb, the scale A reads 96 lb. What is his correct weight?
[/B]
http://edugen.wileyplus.com/edugen/courses/crs7925/art/qb/EAT_1314936802947_0_5416955130664096.jpg

Homework Equations


ΣF=0

The Attempt at a Solution


[ IMG]http://i1164.photobucket.com/albums/q562/falsovero/20150703_115323_zpsnkhqktuf.jpg[/PLAIN]
Unfortunately, we can't open that link from Wiley without a username/password.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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