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AntonioMD
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Hey everyone, perhaps you can help me here. I'm having an argument with my classmates on this problem and I'm 99% certain I'm correct. Please provide any feedback.
Block A is 3kg and is sitting on a horizontal surface, it is attached to a string of negligible mass to block B of 1kg, which is sitting on an inclined plane of 30 degrees to the right of Block A, over a pulley of negligible mass. Block A has a force of 2.3 N being applied to it in the positive direction of x. Both blocks have a coefficient of kinetic friction of .20, Solve for the acceleration of the system and the tension in the string.
m1 = 3Kg
m2=1kg
coef. of kinetic friction: .20
Fap= 2.3N
Force of kinetic friction=Fn x Coefficient
T+Fapplied- force of kinetic friction=m1a
Applying Newtons second law to mass 2
m2gsin∅-T-force of kinetic friction on block 2= m2a
I solve for tension on both equations and then combine them to solve for acceleration:
T=m1a-Fapplied+Fk1
T=m2gsin∅-Fk2-m2a
a=(m2gsin∅-Fk2-Fk1+Fapplied)/(m1+m2)
This yields -.37N/4Kg
My fellow students claim that they're obtaining a positive acceleration but I don't understand how that's even possible.
You have a 3kg Block A with a kinetic friction of 3kg*9.8m/s^2 = 29.4N x .20 = 5.88N and an applied force of only 2.3N, meaning you're going to need a force greater than 3.58 N to keep Block A moving.
Block b has a kinetic friction of 1kg*9.8cos∅ = 8.5N x .20 = 1.7N and the only force acting on block B is gravity, with magniture m2gsin∅ = 1kg*9.8sin∅ = 4.5 N, so the net force acting on the block is only 2.8N. Does this not mean that it is impossible for block A to move along the positive direction of X? My acceleration is yielding negative because the kinetic friction force is greater than the net forces acting in the positive direction of X.
Can someone please confirm that I am correct or please explain to me why I am wrong. It would be greatly appreciated!
Homework Statement
Block A is 3kg and is sitting on a horizontal surface, it is attached to a string of negligible mass to block B of 1kg, which is sitting on an inclined plane of 30 degrees to the right of Block A, over a pulley of negligible mass. Block A has a force of 2.3 N being applied to it in the positive direction of x. Both blocks have a coefficient of kinetic friction of .20, Solve for the acceleration of the system and the tension in the string.
Homework Equations
m1 = 3Kg
m2=1kg
coef. of kinetic friction: .20
Fap= 2.3N
Force of kinetic friction=Fn x Coefficient
The Attempt at a Solution
Applying Newtons second law to mass 1T+Fapplied- force of kinetic friction=m1a
Applying Newtons second law to mass 2
m2gsin∅-T-force of kinetic friction on block 2= m2a
I solve for tension on both equations and then combine them to solve for acceleration:
T=m1a-Fapplied+Fk1
T=m2gsin∅-Fk2-m2a
a=(m2gsin∅-Fk2-Fk1+Fapplied)/(m1+m2)
This yields -.37N/4Kg
My fellow students claim that they're obtaining a positive acceleration but I don't understand how that's even possible.
You have a 3kg Block A with a kinetic friction of 3kg*9.8m/s^2 = 29.4N x .20 = 5.88N and an applied force of only 2.3N, meaning you're going to need a force greater than 3.58 N to keep Block A moving.
Block b has a kinetic friction of 1kg*9.8cos∅ = 8.5N x .20 = 1.7N and the only force acting on block B is gravity, with magniture m2gsin∅ = 1kg*9.8sin∅ = 4.5 N, so the net force acting on the block is only 2.8N. Does this not mean that it is impossible for block A to move along the positive direction of X? My acceleration is yielding negative because the kinetic friction force is greater than the net forces acting in the positive direction of X.
Can someone please confirm that I am correct or please explain to me why I am wrong. It would be greatly appreciated!