Calculating Strain in a Slowing Elevator Cable

  • Thread starter Thread starter Tycho
  • Start date Start date
  • Tags Tags
    Elevator Strain
AI Thread Summary
To calculate the strain in the elevator cable when it is brought to a stop, the total mass supported by the cable is 4110 kg (1260 kg for the elevator plus 2850 kg for the crowd). The force exerted on the cable can be determined using the impulse-momentum principle, considering the change in momentum over the stopping time of 0.600 seconds. The diameter of the cable is relevant for calculating its cross-sectional area, which is necessary for determining stress and subsequently strain. The user is seeking clarification on how to incorporate the deceleration of the elevator into the strain calculation, as they have only calculated strain for constant velocity. Understanding the initial velocity and applying the correct equations of motion will be essential for solving this problem.
Tycho
Messages
23
Reaction score
0
A 1260kg freight elevator is supported by a steel cable of diameter 34.9mm. It is loaded with a crowd of people collectively having a mass of 2850kg and it is descending.
What is the strain in the cable when it is brought to a stop in 0.600s?

I'm not really sure how to figure in the fact that the elevator is slowing in this equation? a little push in the right direction would be GREATLY GREATLY appreciated. thanks!
 
Physics news on Phys.org
i believe this is an impluse question, idk what the diameter has to do with anything...

\frac{dp}{dt} = F
-(1260kg + 2850kg)v = F(.6s)
solve for F and that is what i would assume "strain" means, however idk what the v would be is it given? idk...sorry...
 
you need the diameter to find the cross-sectional area of the cable. i understand all that, but i need the strain when it is slowing. i got the strain when it was moving at a constant velocity (i think).
does anyone know how to figure this?
 
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...
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...
Back
Top