Let B rightarrow 78 m 70 degree counterclockwise from the v

Let B rightarrow = (7.8 m, 70 degree counterclockwise from the vertical). Part A Find the x- and y-components of Bright in the coordinate system shown in the figure(Figfigures. Enter your answers numerically separated by a comma.ure 1) (a). Express your answers using two significant figures. Enter your answers numerically separated by a comma. Part B Find the x- and y-components of B vector in the coordinate system shown in the figure (b). Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Solution

IF B is 70o couter clock wise with verticle

Then the angle made by B with y axis is 70 and the y component in frame (a)

                  By = 7.8 cos(70) = 2.667 m

and           Bx = -7.8 m sin(70)= -7.329 m is along negative x axis

          Bx,By in a coordinate system = -7.329m , 2.667m

b) since the cordinate system b is already tilted 30 with the verticle ,

then vector B will make 40 with with y axis in b cordinate system ; we have B = 7.8 m

                      By = B cos(40) = 5.975 m

                    Bx = B sin(40) m = -5.013 m

                                          Bx ,By = -5.013 m, 5.975 m