# Using a pulley to raise yourself?

1. Sep 27, 2008

### abcdefj

1. The problem statement, all variables and given/known data

In this figure, the man and the platform together weigh 950N. The pulley can be modeled as frictionless. Determine how hard the man has to pull on the rope to lift himself steadily upward above the ground. (Or is it impossible? If so, explain why.)

http://www.webassign.net/serpop/p4-33.gif

2. Relevant equations

3. The attempt at a solution

My thoughts:
a) If there's a 950N force initially downward and he pulls upward (say 475N), wouldn't the tension in the string still be equal to 950N? In this case, wouldn't the man be pulling upward 475N plus an extra 475N? = impossible.

b) The tension in each string equals the total tension in the system (is this true by the way?), so each string would have a tension of 950/2 = 475N, which is how much the man would have to pull upward. = possible.

Last edited: Sep 27, 2008
2. Sep 28, 2008

### Staff: Mentor

What must the tension be in the rope to support the platform plus man?

What is the relationship between the force the man exerts on the rope and the rope tension?

3. Sep 28, 2008

### abcdefj

Since the man and the platform together weigh 950N (downward force), the tension in the rope must be 950N (upward force).

I'm not quite sure how to go abouts your second question. Isn't the force the man exerts on the rope and the rope tension supposed to be equal?

4. Sep 28, 2008

### Staff: Mentor

Good.
Exactly. So how hard does he have to pull?

5. Sep 28, 2008

### abcdefj

He has to pull 950N. Wow, I was just going in circles there! Thanks :)