Calculating Peak Force of Falling Object with Load Cell and Steel Cable

AI Thread Summary
An experiment is being conducted to measure the peak force of a 99.7kg mass dropped from 1.8m, using a load cell in series with a steel cable. The load cell records a peak force of approximately 6000lb, but the experimenter seeks to verify this reading. Calculations based on potential energy suggest a much higher force, but issues arise from not accounting for the momentum of the falling weight and the subsequent bouncing after impact. The stretch of the cable, calculated for equilibrium, does not reflect the dynamic forces involved during the drop. Accurate calculations must consider the non-uniform force distribution and the rapid stopping process, which may not align with the load cell's sampling frequency.
jimbojones21
Messages
1
Reaction score
0
I'm running an experiment where I drop a mass (99.7kg) a distance of 1.8m. The load is suspended from a very rigid structure through a steel cable.

I currently have a load cell in series with the cable and mass. I acquire data at 1000Hz and my load cell tells me I have a peak force of about 6000lb.

I'd like a way of verifying the peak load I'm reading through my load cell.

This is what I have so far:
Potential energy = mgh = 1760 Joules
To calculate load, I thought I would need to calculate the distance the steel cable stretched after the load dropped. This is where I have difficulty. I found a utility that tells me the stretch of my cable for a given weight. It tells me I will get a stretch of 0.0006989049 meters on my 9ft cable.

Using Work = Force x Distance,
Force = 1760 / 0.000698 = 2518940N = 566280 lb, which is obviously wrong.

Now I'm thinking there is a couple of problems with my calculations:
1- The stretch distance is not accurate because it does not take into account that the weight was dropped from a height and has momentum
2- The weight bounces back up after initial impact and keeps bouncing back up and down several times before the weight comes to rest.

Any way to do this calculation with the information I have?
 
Physics news on Phys.org
jimbojones21 said:
I found a utility that tells me the stretch of my cable for a given weight. It tells me I will get a stretch of 0.0006989049 meters on my 9ft cable.
That is the stretch in equilibrium, with ~1000 N force, not with the ~30,000 N you have. If you increase the distance by a factor 30 then the force becomes ~100,000 N, that is at least in the right order of magnitude.

The force won't be uniform across the stopping distance and your stopping process is of the order of the 1 ms sampling frequency, so I wouldn't expect a good match anyway.

The bouncing shouldn't matter if you just consider the process until the weight is at its lowest point.
 
Hi there, im studying nanoscience at the university in Basel. Today I looked at the topic of intertial and non-inertial reference frames and the existence of fictitious forces. I understand that you call forces real in physics if they appear in interplay. Meaning that a force is real when there is the "actio" partner to the "reactio" partner. If this condition is not satisfied the force is not real. I also understand that if you specifically look at non-inertial reference frames you can...
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
Back
Top