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Slope Friction Problem 
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#1
Oct1806, 07:45 PM

P: 163

a 2.0 kg brick rides on a 20kg sled and is dragged upa22 degree slope by a rope witha tension of 1000 N. Theropeis parallel totheslope. The friction coefficient(both static and kinetic) between the brick and sled is 0.30 and between the sled and the ground is 0.15. Predict each mass's acceleration. I got 0.8 m/s/s for thebrick which i'm sure is right, and for the sled sled I got 40 m/s but the teacher says it is 45 m/s/s.
Teacher's method: 100020(9.8)sin220.15(22)(9.8)sin225.4=20a a=45.5m/s/s My method: 100081305.4=22a a=40m/s/s 


#2
Oct1806, 08:26 PM

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P: 41,325

(FYI: Getting useful help will be easier if you post your work using symbols, not just numbers.) 


#3
Oct1806, 08:40 PM

P: 163

well doesn't the brick on top add to the force of gravity, which in turn would increase the force of friction and the other force which directs down the slope?



#4
Oct1806, 11:03 PM

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P: 3,033

Slope Friction Problem
In your last equation, the mass that multiplies a is just the mass of the sled, not the mass of sled plus brick. In your "81" you have included a force that is acting only on the brick as if it were acting on the sled. The teacher's method is correct, but the numerical value seems a bit off. I'd like to see how you calculated the 0.8m/s^2 acceleration of the brick. It would be interesting to calculate the total force acting on the brick if the sled were not moving. 


#5
Oct1906, 11:20 AM

P: 163

For the brick: 0.30(19.6)cos2219.6sin22=2a



#7
Oct1906, 11:55 AM

P: 186

where does the 5.4 come from?



#8
Oct2006, 05:09 PM

P: 163




#9
Oct2006, 05:15 PM

P: 163

shouldn't it be this for the sled:
100020(9.8)sin220.15(22)(9.8)cos225.4=20a a=52.6m/s/s? So the teacher is wrong? 


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