Calculating Work Required to Lift a Hanging Chain

AI Thread Summary
To calculate the work required to lift a 30 ft chain weighing 5 lb/ft, the integral limits should be set from 0 to -30. The attempted solution used the integral \(\int^{0}_{-30}5/30y dy\), resulting in an answer of 75 lb/ft, which the poster doubts is correct. The discussion highlights a lack of feedback on the calculation, indicating a need for clarification on the physics principles involved. The conversation emphasizes the importance of proper setup in solving physics problems using calculus. Overall, the thread seeks validation or correction of the work calculation for lifting the chain.
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Homework Statement


A chain hangs verticaly from a building. The chain is 30 ft long and is 5 lb/ft3, how much work is needed ot lift the bottom of the chain to the top.

Homework Equations


If you put the axis where the chain is hanging your limits would be 0 and -30

The Attempt at a Solution


So I tried \int^{0}_{-30}5/30y dy

Then I get 1/12y2 and solve it for 0 and -30 and get 75 lb/ft, but it doesn't seem right.

(sorry if I didnt use the templete right, I'm a noob at this)
 
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I'm moving this to physics. Questions based on physics principles whilst still using calculus should be put in the intro physics homework forum.
 
Nobody?

Not even a "no your wrong" or "yes that's right"?
 

Thread 'Errors and significant figures'

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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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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