Modified Formula for Friction-Affected Oscillation of Box on Spring Platform

[bilalbajwa]

Friction Problem. Help!

Homework Statement

In the absence of friction, we know v = (2gd)^(1/2). But with a correction factor that accounts for friction what would be the modified farmula?

d=distance of box from the spring platform.
g=acceleration due to gravity

The Attempt at a Solution

Basically i am observing a box jumping or oscallating on the spring platform.
This equation is derived from Work Energy Theorem

 

[Mentz114]

The description of the problem is inadequate.

 

[andrevdh]

I assume you are talking about air friction reducing the energy of the box while it is airborn and therefore the maximum speed with which it hits the spring platform?

 

[Mentz114]

Hi. No I don't understand where the box is in relation to the spring platform. Is something dropping onto something else ? You haven't described the problem at all ! You start by quoting a formula.

 

[andrevdh]

Sorry, I was addressing bilalbajwa. Since he talks about oscillations I guess that the box is jogged up and down by the spring platform - sort of like someone on a jumping board over a pool.

 

[bilalbajwa]

I am talking about the air friction.

 

[andrevdh]

Do the box stay on the platform or is it shot up and drops down onto it again (repeatedly)?

 

[bilalbajwa]

Hi,
Thanks for replying.
As i said box is oscillating up and down. And its this jumping comes to a complete rest after some time.

 

[andrevdh]

I am getting the idea that what you are looking for is the theory describing the "Damped Harmonic Oscillator"

Click on Mechanics on this page:

http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html"

then on Periodic motion on the framed diagram

and finally on Damped motion

to get to a mathematical description of the the theory of the Damped Harmonic Oscillator. You can find more information if you scroll down on the page that you land on finally.

Feel free to aks more questions here concerning the theory you find there.

Why are you interested in this motion?