Go Back   Physics Help Forum > College/University Physics Help > Advanced Mechanics

Advanced Mechanics Advanced Mechanics Physics Help Forum

LinkBack Thread Tools Display Modes
Old Nov 6th 2018, 05:23 PM   #1
Junior Member
Join Date: Oct 2018
Posts: 2
Start-up Load on Winch

Guys, I do not know where I'm going wrong.

My final project (undergrad thesis) involves modeling the pulling force of a winch.

As the problem involves a rope under tension and a block being pulled on a surface (friction considered), I can model the problem as a damped spring mass system (due to the internal friction of the rope). The force on the string is expected to peak and then decrease to its nominal value.

As a guide, I used the example of Machine Design - An Integrated Approach, 3rd edition - Robert L Norton.


1. Define the differential equation

Start-up Load on Winch-figure-1.jpg

Figure 1 shows the Dynamic System, the Lumped Model and the Free Body Diagram (From the book problem)

(My differential equation is analogous to the Norton example. The difference is that the load to be pulled is horizontal)

Start-up Load on Winch-figure-2.jpg

Figure 2 shows the model on my problem.

2. Define Boundary Conditions

The initial conditions reflect the fact that the system is initially stopped. Speeds, displacements and accelerations are all equal to zero.

Start-up Load on Winch-figure-3.jpg

Figure 3 shows the boundary conditions of the Norton problem, which are analogous to mine the resulting equation, with physical constants already substituted. Note that g does not fit into my equation. In my problem, g will be replaced by the ratio of [MATH] (F_friction + F_resistance) / m [/ MATH]

3. Solving the equation and plotting the graphs.

Start-up Load on Winch-figure-4.jpg

Figure 4 shows the results of the book, which are congruent with the expected response to the actual physical situation.


Start-up Load on Winch-figure-5.jpg

Figure 5 shows the equation with my values ​​already plugged in. (Equation-A)

Solving Equation - A on https://www.symbolab.com/solver/seco...ion-calculator,

Start-up Load on Winch-figure-6.jpg

We have the solution - Figure 6

Plotting its second derivative in Wolphram, we obtain the graph of Figure 7. So far, all okay.

Start-up Load on Winch-figure-7.jpg

However, I do not know how to plot the force graph.

I tried to multiply the mass of the block by the acceleration equation (second derivative of the solution of equation A) and plot the result and I got what we see in Figure 8

Start-up Load on Winch-figure-8.jpg

It does not match the reality of the problem.

Can you tell me where I'm going wrong? The force should tend to the nominal force (F_winch or F_friction _ F_resistance), as in the Norton problem, not zero.

Please help guys!
lipelourenco is offline   Reply With Quote

  Physics Help Forum > College/University Physics Help > Advanced Mechanics

load, startup, winch

Thread Tools
Display Modes

Similar Physics Forum Discussions
Thread Thread Starter Forum Replies Last Post
Winch pull force - Double Catenary Problem lipelourenco General Physics 1 Oct 31st 2018 03:23 PM
Load Measurements QuestionablePhysics Advanced Electricity and Magnetism 3 Apr 16th 2018 09:37 AM
Determine the load ling233 Kinematics and Dynamics 12 Nov 11th 2015 06:47 PM
Load in Motion? mmarz9 Energy and Work 1 Oct 13th 2010 11:11 PM
exercise about an epicyclic train (winch) boolean Kinematics and Dynamics 1 Feb 11th 2009 03:02 AM

Facebook Twitter Google+ RSS Feed