# Static Problem i am confused

1. Jul 15, 2010

### subho123

Static Problem....i am confused

1. The problem statement, all variables and given/known data
The Problem says " A rod is 5 ft long and its weight is 60 lb. one end of the rod is fastened to a vertical wall by a clip. other end is bound by a rop which is attached to point on the vertical wall situated at a 12 ft height from the clip. Now i have to calculate the tension of the rope & the reaction on the clip. "

2. Relevant equations

http://img822.imageshack.us/img822/660/63432505.png [Broken]

If i use the first figure then taking the moment of all the forces w.r.t the point A we get T x 60/13 = 60 X 2.5

T = 32.5 lb wt

again using lami's theorem on the 2nd figure

T/sin90 = 60/sinθ = R/sin(90 -θ)

T = 60/12/13 = R/5/13

using T = 32.5 lb wt we have R =(5/13)* 32.5 = 12.5 lb wt...

but if i use the lami's theorem directly then i get T = 60/12/13 = 65 lb wt...why i am getting two value of T ?????

eventually the answer is that the value of T and R are 32.5 lb wt.

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Last edited by a moderator: May 4, 2017
2. Jul 15, 2010

### graphene

Re: Static Problem....i am confused

Start with drawing a free-body diagram showing all the forces on the rod.

3. Jul 15, 2010

### subho123

Re: Static Problem....i am confused

i have drawn the diagram...can u plzz help me out...

4. Jul 15, 2010

### graphene

Re: Static Problem....i am confused

Balancing the moments about A, you should get
$$T\sin\theta l = mg\frac{l}{2}$$

And I dont quite know these units, so i couldn't proceed. :P

5. Jul 15, 2010

### subho123

Re: Static Problem....i am confused

that's why i have done above...but i am confused that when i am using lami's theorem..i am getting different result...

6. Jul 16, 2010

### PhanthomJay

Re: Static Problem....i am confused

Don't use Lami's theorem unless 3 non-co-linear loads are applied at the same joint. Your 60 pound weight is not applied at the joint. Incidentally, while the tension is 32.5 pounds in the cable, the horizontal force in the rod is 12.5 pounds. The magnitude of the resultant reaction force at the clip (A) is 32.5 pounds (resultant of its A_x and A_y components). Don't confuse the two.

7. Jul 18, 2010

### subho123

Re: Static Problem....i am confused

now i understand ..thanks very much...

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