I am unsure if I should use 6cos50 or 6sin50. I think the equation should be something like 3sin40-6sin50=f. is this correct?
Personally I'd set it out slightly differently
Resolving parallel to the plane 3gsin 40 + F = 6 cos 50 [It's cos 50 or sin 40 here - some students remember it as it's cos of the angle you go across]
Resolving parallel to the plane 3gsin 40 + F = 6 cos 50 [It's cos 50 or sin 40 here - some students remember it as it's cos of the angle you go across]
Don;t forget the 'g' to turn 3kg into Newtons
Sorry. I don't understand how you got 6cos 50 or 6sin 40.
Sorry. I don't understand how you got 6cos 50 or 6sin 40.
You told me the angle the 6M force made with the upwards plane was 50 so if we want the component in that direction we are going 'across' 50 so it is cos 50.
You told me the angle the 6M force made with the upwards plane was 50 so if we want the component in that direction we are going 'across' 50 so it is cos 50.
so the 6cos50 is going in the same direction as F. Is this right. It is the side going along the 50 degree angle.
In this picture, the red arrow denoting thrust, the dashed horizontal line which in the image is called the flight path and a vertical line joining the two (not shown in the diagram) form a right angle triangle. You can use this triangle to carry out the decomposition of the thrust vector into vertical and horizontal components. Note that the red arrow here is the hypotenuse of the right angle triangle. The angle c is the angle between the red arrow (hypotenuse) and the dashed horizontal line.
You can use the same idea to decompose other forces about the aircraft, about different frames of reference.
The resultant force vector is obtained by the vector summation of Fh and Fv. Its magnitude is determined by Pythagoras theorem.