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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bigu01 said:
squaring them and putting under the square root to equal 12.
It says a resultant of 12 downwards.
 
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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 :(.
 

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

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.

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.

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.

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.

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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