anonymous
  • anonymous
Is tension force equivalent to applied force?
Mathematics
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chestercat
  • chestercat
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anonymous
  • anonymous
So let's say there is a tension force of 360N acting on a 30kg object on a flat surface with no friction. Acceleration can be calculated using the newton's second law F=ma such that 360N=30kg(a) a=12/s^2
anonymous
  • anonymous
@IrishBoy123
IrishBoy123
  • IrishBoy123
if the object is being pulled by a rope, then the force on the object and the tension in the rope are one and the same, yes with our usual assumption that the rope is massless

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More answers

anonymous
  • anonymous
The rope is indeed not very massless but I hope physicists are smart enough to account for everything elseXD
anonymous
  • anonymous
we assume the rope is massless so the problem will be easier
Loser66
  • Loser66
Question: Where is gravity?
anonymous
  • anonymous
i forget why it is easier to assume rope is massless
IrishBoy123
  • IrishBoy123
flat surface and frictionless
Loser66
  • Loser66
The problem indicates to tension and friction, but gravity is there still.
IrishBoy123
  • IrishBoy123
ah, yes, but it is acting orthogonal to motion so indeed you would have R = mg in the up down direction equalling zero
Loser66
  • Loser66
|dw:1439468269722:dw|
IrishBoy123
  • IrishBoy123
if the rope is not massless then the tension is greater the further away from the block you are pulling because that part of the rope is pulling the block and the rest of the rope in addition you will have a force downwards on the rope - gravity
Loser66
  • Loser66
Because no friction, so that the box moves with constant velocity and total force is as shown.
Loser66
  • Loser66
Actually, I don't know, hehehe... I forgot all of my physics knowledge. @IrishBoy123 rely on you. :)
IrishBoy123
  • IrishBoy123
|dw:1439468440385:dw|
IrishBoy123
  • IrishBoy123
@Loser66 if you are ever relying on me, you are in such trouble :-)) lol!!
anonymous
  • anonymous
@IrishBoy123 so my answer turns out wrong.
anonymous
  • anonymous
I seem to have neglected the gravity... He says this
anonymous
  • anonymous
Fnet = ma Ft – Fg = ma 360 – m g = m a 360 – 30 x9.8 = 30 a a= 2.2 or 2 m/s2 upward
anonymous
  • anonymous
So the unbalanced force was 360 N as you all know it, Mass of the object being moved was 120kg gravity is 9.8m/s^2 Surface is frictionless Force of tension=360N which @IrishBoy123 had claimed as being equivalent to applied force to the object with a mass of 120kg
IrishBoy123
  • IrishBoy123
not sure which we are now discussing can you draw it?
anonymous
  • anonymous
|dw:1439472031159:dw|
anonymous
  • anonymous
Sorry basically 30kg object being applied 360N tension force acceleration of which is being looked for.
IrishBoy123
  • IrishBoy123
|dw:1439472054470:dw|
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
But this is wrong ?
IrishBoy123
  • IrishBoy123
cool. here the surface is horizontal and frictionless, so we don't have to worry about gravity
IrishBoy123
  • IrishBoy123
if the drawing is accurate, the solution is correct can you post the question or link it?
anonymous
  • anonymous
You have neglected gravity which acts downward.
anonymous
  • anonymous
Fnet = ma Ft – Fg = ma 360 – m g = m a 360 – 30 x9.8 = 30 a a= 2.2 or 2 m/s2 upward
anonymous
  • anonymous
*quoted from my teacher.
anonymous
  • anonymous
|dw:1439472226663:dw|this is tensile force which is also applied force
anonymous
  • anonymous
means the object is being pulled
IrishBoy123
  • IrishBoy123
ok there is a context here which i am clearly missing i think you have this |dw:1439472256031:dw|
IrishBoy123
  • IrishBoy123
but you mentioned a flat surface with no friction. that was the source of the confusion |dw:1439472446011:dw|
anonymous
  • anonymous
this force whether its tension or not is pretty irrelevant unless you are calculating deformation/stress/strain
IrishBoy123
  • IrishBoy123
until we see the actual question or a good drawing, we are just guessing ..... and i am no good at that :p
anonymous
  • anonymous
"A mass of 30 kg is hauled upward by a rope. The tension in the rope is 360 N. What is the magnitude of the acceleration of the mass?"
anonymous
  • anonymous
Sorry it was my faulty @IrishBoy123
anonymous
  • anonymous
I guess I was mixed up with some other questions which posed "frictionless surface"
IrishBoy123
  • IrishBoy123
no worries ;-)

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