# Equilibrium - A rod influenced by multiple rope tensions

1. Mar 31, 2013

### kastamonu

equilibrium -- A rod influenced by multiple rope tensions

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

Smooth and identical rod has a weight of P. The rod seems to be in equilibrium with X and Y which has a weight of P. What can be the weight of X according to the values below?(ip means rope)

P , 6P or 9P

2. Relevant equations

3. The attempt at a solution

I tried to find the torque. First I found the gravity center of the rod. It is 2.5 units from X and 2.5 units from Y. And found the answer as
2.5P=2.5X and X=P. But according to my book there are 2 values for X. One of them is 6P and the other is P.

#### Attached Files:

• ###### tara0003.jpg
File size:
5.4 KB
Views:
94
Last edited by a moderator: Mar 31, 2013
2. Mar 31, 2013

### TSny

Think about what happens if X gets heavier and heavier. When X reaches a certain weight, the rod will begin to rotate in which direction and about which rope?

Likewise, think about what happens if X gets lighter and lighter.

3. Apr 1, 2013

6X=3P+P
x=2/3