Okay, so I've tried to do this problem and the program tells me it's not right (But, of course, it doesn't tell me how to do it. =/)
The two blocks in the figure below are connected by a heavy uniform rope with a mass m = 3.88 kg. An upward force F = 196 N is applied as shown.
(The figure shows a force up, a big block weighing 6.00 KG, the 3.88 KG rope, and then a smaller block weighing 5.00 KG. Something like this:
....^
....|
|-------|
|.......|..-- 6.00KG
---------
....||
....|| - 3.88 KG
....||
|---------|
|---------| -- 5.00 KG
Questions:
What is the acceleration of the system?
I took the force due to gravity on the system, which is (-9.81)*14.88 = -145.97, and added it to the upward acceleration and got 50.0272 N, and divided it by the mass 14.88 and got the acceleration is 3.36 m/s^2. That's correct.
Then the other two questions:Find the Tension at the top of the rope, and the tension at the midpoint of the rope.
What I did is added the forces applied at the top, and at the midpoint for the two answers. I got
-9.81*14.88 + 196 = 246.03 N
and
-9.81*8.88 + 196 = 108.89 N. Both of which are wrong. Please help me figure out tension?
The two blocks in the figure below are connected by a heavy uniform rope with a mass m = 3.88 kg. An upward force F = 196 N is applied as shown.
(The figure shows a force up, a big block weighing 6.00 KG, the 3.88 KG rope, and then a smaller block weighing 5.00 KG. Something like this:
....^
....|
|-------|
|.......|..-- 6.00KG
---------
....||
....|| - 3.88 KG
....||
|---------|
|---------| -- 5.00 KG
Questions:
What is the acceleration of the system?
I took the force due to gravity on the system, which is (-9.81)*14.88 = -145.97, and added it to the upward acceleration and got 50.0272 N, and divided it by the mass 14.88 and got the acceleration is 3.36 m/s^2. That's correct.
Then the other two questions:Find the Tension at the top of the rope, and the tension at the midpoint of the rope.
What I did is added the forces applied at the top, and at the midpoint for the two answers. I got
-9.81*14.88 + 196 = 246.03 N
and
-9.81*8.88 + 196 = 108.89 N. Both of which are wrong. Please help me figure out tension?