Question

MW 08:00-09:15 PHY 2053 Test #1 2019-01-30 3. In the figure below, vector A has a magnitude of 15.00 m measured from the negative x-axis, angle of θ straight down. directed at an angle θ,-25° vector B has a magnitude of 10.45 m directed at an from the negative x-acis, and vector C has a magnitude of 8.45 ml directed B 12 (a) Find the x-and y-components of vector A (b) Find the x- and y-components of vector B (c) Find the x- and y-components of vector C (d) Find the resultant vector = A + B + (e) At what angle from the positive x-axcis is R directed? -7 ty +X 12

Answer 1

" vert A vert = 15 m vert B vert = 10.45 m vert c vert = 8.45 m Resolve A vector, B vector & C vector in x & y direction Sum x = vert A vert cos 25 + [- vert B vert cos 12 degree] + 0 = 15 cos 2s - 10.45 cos 12 = = 132.59 - 10.22 = 3.37 Sum y = vert A vert sin 25 + vert B vert sin 12 - vert C vert = 15 sin 25 + 10.45 sin 12 - 8.45 = 6.34 + 2.17 - 8.45 = 0.06 (a) x - component of A vector = vert A vert cos 25 = 13.59 m y "" "" "" "" = vert A vert sin 25 = 6.34 m (b) x - component of B vector = vert B vert cos 12 = 10.22 m y - component "" "" = vert B vert sin 12 = 2.17 m. (c) x component of c^-1 = 0 y "" "" "" = 8.45 m"