# Dyanimcs problem. find the dustance traveled using of a cart

1. Feb 16, 2013

### baileypatrick8

1. The problem statement, all variables and given/known data
The system is released from rest with no slack in the cable and with the spring stretched 200mm. Determine the distance s traveled by the 10kg cat before it comes to rest (a) if m approaches zero and (b) if m = 2kg. Assume no mechanical interference.
Mass of cart = 10kg, k = 125 the spring starts stretched .2m

2. Relevant equations

I have attached a picture of the problem n as well as my attempt at solving it.

3. The attempt at a solution
I assumed the work of the cart would equal that of the spring. I found the acceleration of the cart is twice that of the spring through f = ma I got
10kg (g) sin25 - T = mAx

And in the y firection for the spring assumed the force of the spring down is equal to twice that of T with Fs = 125/2 (.2^2 -(.2-d)^2)

From here I tried set ting the work of each equal to each other and integrating and got the wrong answer.

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2. Feb 16, 2013

### SteamKing

Staff Emeritus
Your file is damaged and cannot be opened.

3. Feb 16, 2013

### baileypatrick8

I hope it worked this time. The preview showed up fine on my end

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