- #1
Rob K
- 33
- 0
Hi guys,
Got a general question here about sum of forces that keeps coming up for me, and so I want to try and nail it this time.
If you have a pully system, and there is a weight attached to a rope at one end of say 10 kg and the other end is is attached to a force of 1000 N that is pulled at an angle of let's say 40˚ below the horizontal, I am looking to find the x and y components of the forces at the origin. Friction is negligable
So this is what I think it should be:
Using [itex]\Sigma[/itex]F = ma
Acceleration due to gravity (g) = 9.81m/s2,
Tension in the rope = T
+[itex]\uparrow[/itex] [itex]\Sigma[/itex]Fy
-10kg * 9.81m/s2 + T = -10a + 1000cos40N
Where a is yet to be derived
+[itex]\rightarrow[/itex][itex]\Sigma[/itex]Fx
? = 1000sin40.
I'm pretty sure I have got these wildly wrong, but my major focus on this question is what needs to be there to balance out the x direction. I am assuming that it is some force acting on the pivot, but how is that expressed. And what other forces or data am I missing from this to make it a viable question.
Kind regards
Rob K
Got a general question here about sum of forces that keeps coming up for me, and so I want to try and nail it this time.
If you have a pully system, and there is a weight attached to a rope at one end of say 10 kg and the other end is is attached to a force of 1000 N that is pulled at an angle of let's say 40˚ below the horizontal, I am looking to find the x and y components of the forces at the origin. Friction is negligable
So this is what I think it should be:
Using [itex]\Sigma[/itex]F = ma
Acceleration due to gravity (g) = 9.81m/s2,
Tension in the rope = T
+[itex]\uparrow[/itex] [itex]\Sigma[/itex]Fy
-10kg * 9.81m/s2 + T = -10a + 1000cos40N
Where a is yet to be derived
+[itex]\rightarrow[/itex][itex]\Sigma[/itex]Fx
? = 1000sin40.
I'm pretty sure I have got these wildly wrong, but my major focus on this question is what needs to be there to balance out the x direction. I am assuming that it is some force acting on the pivot, but how is that expressed. And what other forces or data am I missing from this to make it a viable question.
Kind regards
Rob K