Pulley and Mass on an Inclined Ramp

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Homework Help Overview

The problem involves a 20 kg mass and a 5 kg mass on an inclined ramp, where the 5 kg mass slides up the ramp from rest after the 20 kg mass is released. The inquiry focuses on determining the tension in the string connecting the two masses, with additional details provided about forces acting on each mass.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the forces acting on both masses and expresses uncertainty about the role of friction and the correct application of Newton's laws. Some participants suggest writing separate force equations for each mass and considering the forces acting parallel to the incline.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the forces involved and seeking clarification on the application of Newton's second law. Guidance has been offered regarding the need for separate force equations, but no consensus has been reached on the approach to take.

Contextual Notes

The original poster notes uncertainty about the necessity of distance measurements provided in the problem and questions the sign convention for friction in their calculations.

theuniverse
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Homework Statement


A 20 kg mass is released, and the 5 kg mass on the ramp slides up the ramp from rest. As soon as the 5 kg mass gets to the end of the ramp, the string breaks down. What's the tension of the string?

http://img10.imageshack.us/img10/7603/figure1w.th.jpg

Homework Equations


I would use:
Fg=mg
Fnet = Fg1 + Fg2 + Ff
Fnet = ma
Fk = (uk)(Fn)

The question provies distances too, but I am not sure whether I actually need them...

The Attempt at a Solution


First I found the weight of both masses using Fg=mg
M1(on ramp) = 49N
M2 (hanging) = 196N

Then I found the components of Fg (and thus Fn), as shown in my diagram.
Fn = 42.4N
Therefore, using Fk = (uk)(Fn), I found the friction to be -11N.

I know that I have to calculate Fnet. So: Fnet = 196N -24.5N +11N = 182.5N
*Note: I am not very sure what sign does the friction have in this problem...

Not sure how to find tension from here... Fnet = Ft + Fgx + Ff?

Thank you for your time,
 
Last edited by a moderator:
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I recommend that you write separate force equations for each mass, then combine them. For the mass on the incline, consider forces parallel to the incline.
 
Thanks for replying.
I am not quite sure what you mean by separate force equations for each mass.
And wouldn't Fgx = 24.5N be the force parallel to the incline?
 
theuniverse said:
I am not quite sure what you mean by separate force equations for each mass.
Consider the forces on mass 1. Apply Newton's 2nd law. Do the same for mass 2.
And wouldn't Fgx = 24.5N be the force parallel to the incline?
That's the component of gravity on mass 1 parallel to the incline, but other forces act on that mass.
 

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