Consider the following free body diagram. 4 forces are acting on one mass. What is the magnitude

First, we need to find the net force in the horizontal direction (x-axis). We have F1 and F4 act

Consider the following free body diagram. 4 forces are...

Transcript

00:01 Now in this problem we are given with this free boarded diagram that you can see in this figure and there are four forces acting f1 f2 f3 and f4 the magnitude of force f1 we have 12 .1 newton and the magnitude for force f2 we have 4 .56 newton f3 we have 5 .789 newton and finally the force f4 we have a 10 0289 newton right now we need to find that what is the magnitude of the net force acting on this body so the net force will be equals to the square root the net forces along the x direction and its square plus the net forces along the wide direction and its square so first i'll be finding the the total force along the x direction and then the total force along the y direction and then by using this formula we can find the net force acting on the body so as per the question this is the positive x direction is a positive y direction so the component of this f2 force along the x direction this component will be 4 .56 cosine theta and theta we have 45 degrees and this along the negative y this component will be 4 .56 sine 45 degrees right now next the component of force f3 along the negative x this will be the component and this component will be 5 .789 cosine 45 degrees and in the wide direction negative y direction this component will be for 5 .789 sine 45 degrees so we have represented all the forces along the x and the y direction now it's pretty easy to find the total force along the x direction so in the x direction we have this force and this one and this one there are three forces along the x direction two along the negative x and one along the positive x so the total force would be positive 4 .56 cosine 45 degrees then minus this force which is 10 .289 then minus 5 .789 cosine 45 degrees.

02:47 Now use your calculator to simplify this and you'll get this value to be minus 11 .5 newton.

02:54 So this is the total force along the x direction.

02:57 Similarly we can find the total force along the y direction...

Question

Consider the following free body diagram. 4 forces are acting on one mass. What is the magnitude of the net force? Include units F1 = 12.1N F2 = 4.56N F3 = 5.789N F4 = 10.289N

Question

Consider the following free body diagram. 4 forces are acting on one mass. What is the magnitude of the net force? Include units F1 = 12.1N F2 = 4.56N F3 = 5.789N F4 = 10.289N

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