Question

Adding and Subtracting Vectors using Components Add or subtract the vectors. Express the result in both component form. Also find the Magnitude and direction of the resultant vector Find: 3A+4C and 2A- İ 16 F-27-7. what is the magnitude and direction (angle from +x) of this vector? Draw the vector on a properly labelled coordinate system. 17 A ramp makes a 32° angle with the horizontal. Orient your axis such that the x-direction is along the ramp and the y direction is perpendicular to that. A vector points vertically down from the middle of the ramp with a magnitude of 5 units. Find the x and y components of the vector in the angled coordinate system

Answer 1

17.

$|\vec F|=\sqrt {2^2+(-7)^2}\: N= 7.28\: N$

$\phi=90^{\degree}-\theta =90^{\degree}-\tan ^{-1} \frac {|-7|}{|2|} =15.95^{\degree}$

$Angle=270^{\degree}+15.95^{\degree}=285.95^{\degree}$

18.

$F_x=5\cos 32^{\degree}=4.24\: units$

$F_y=-5\sin 32^{\degree}=-2.64\: units$