Finding the Magnitude and Placement of Force F for a Loading System

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In summary, the conversation discusses determining the magnitude and direction of force F and its placement on a beam in order to create an equivalent loading system with a resultant force of 12kN acting vertically downward at point A and a clockwise couple moment of 50kN*m. The equations for resultant Fx and Fy, as well as the moment, are discussed and a mistake in reading the question is acknowledged.
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bigu01
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Homework Statement



Determine the magnitude and direction (theta) of force F and its placementd on the beam so that the loading system is equivalent to a resultant forece of 12kN acting vertically downward at point A and a clockwise coupuple moment of 50kN*m

Homework Equations


M=Fd


The Attempt at a Solution

I am writing equations for resultant Fx and Fy and also for the moment. Fx=Fcos(theta)-1.4 Fy=Fsin(theta)+7.8 then squaring them and putting under the square root to equal 12.For the moment I am getting 14.6=Fsin(theta)*x. x is (7-d).
 

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  • #2
bigu01 said:
squaring them and putting under the square root to equal 12.
It says a resultant of 12 downwards.
 
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  • #3
Ohh, then Fcos(theta)=1.4, now makes sense, thanks a lot.Once again it is shown to me that reading the question REALLY carefully is really important :(.
 

Related to Finding the Magnitude and Placement of Force F for a Loading System

1. What is the equation for determining force F?

The equation for determining force F is F = m x a, where F represents force, m represents mass, and a represents acceleration.

2. How do you measure force F?

Force F can be measured using a force meter, also known as a dynamometer, which typically consists of a spring or elastic material that stretches in proportion to the applied force.

3. What factors affect the value of force F?

The value of force F is affected by the mass of an object and the acceleration it experiences. Other factors that can affect force include friction, air resistance, and gravitational pull.

4. How do you calculate force F when only given the mass and acceleration?

To calculate force F when only given the mass and acceleration, you can use the equation F = m x a. Plug in the values for mass and acceleration, and solve for F.

5. What are some real-life examples of determining force F?

Some real-life examples of determining force F include pushing a heavy object, pulling a wagon, and throwing a ball. In each of these situations, the force being exerted is dependent on the mass of the object and the acceleration it experiences.

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