00:01
In this question we have to determine the magnitude of the resultant force and its direction measured counterclockwise from x -axis we have given the values of f1, f2 and f3 so f1 is 20 kiloons f2 is 10 kilo and f3 is 15 kiloons so this is our x axis and this is our y axis so if we draw the component of these forces along x and y direction we can say that if we draw a diagram separate here this is our x -axis and this is our y -axis.
00:46
The component of the force f -2 in this direction is given by this is f2, cost -30 degree, and in this direction this is f -2, sine 30 -degree, and there is the force f -1 in this direction.
01:03
This is only in y direction.
01:06
Similarly, the component of this force in this direction is this is f -3, cost -40.
01:13
And in y direction this is f3 sine 45 degree so this is our x -axis and this is our y -axis so we can find the resultant force along x -axis so we can say that net force along x -axis is to this is f2 cost 30 degree plus f3 cost 45 degree now put the value of f2 and f3 so this is 10 cores 30 degrees plus 15 cost 45 degree and this will come out to be 19 .27 newton.
01:54
Similarly we can find the net force along wide direction.
01:57
So we can see that net force along why direction is given that this is the upward force that is f1 plus the component of f2 that is f2, sine 30 degree, minus f3...