My Math Forum How do I find my x bar?

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October 21st, 2014, 04:14 PM   #1
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Joined: Oct 2014
From: NJ

Posts: 44
Thanks: 2

How do I find my x bar?

I included a picture of the problem I am trying to solve.

force, and specify its location on the beam measured from
point O.

W = 3 kn/m

I got the resultant forces:

(1/2)*3*3 = 4.5 kn
(1/2)*1.5*3 = 2.25 kn

4.5 + 2.25 = 6.75 kn

I know my general equation is:

6.75*xbar = torque

I want to solve for xbar.

xbar should equal 2.5m
Attached Images
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Last edited by shreddinglicks; October 21st, 2014 at 04:30 PM.

 October 22nd, 2014, 01:48 AM #2 Senior Member   Joined: Apr 2014 From: Glasgow Posts: 2,155 Thanks: 731 Math Focus: Physics, mathematical modelling, numerical and computational solutions The formula you want is similar to centre of mass: $\displaystyle F\overline{x} = \sum_i F_i x_i$ or $\displaystyle \overline{x} = \frac{1}{F}\sum_i F_i x_i$ So you need to find the sum of the individual forces with their $\displaystyle x$ positions and then divide by the total force. Since you already have the individual forces given to you in the question, you need to evaluate the position each individual force. Can you do this? Thanks from shreddinglicks

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