p03 024

background image

24. If we wish to use Eq. 3-5 directly, we should note that the angles for

Q,

R and

S are 100

, 250

and 310

,

respectively, if they are measured counterclockwise from the +x axis.

(a) Using unit-vector notation, with the unit meter understood, we have

P

=

10 cos (25

)ˆi + 10 sin (25

)ˆj

Q

=

12 cos (100

)ˆi + 12 sin (100

)ˆj

R

=

8 cos (250

)ˆi + 8 sin (250

)ˆj

S

=

9 cos (310

)ˆi + 9 sin (310

)ˆj

P +

Q +

R +

S

=

10.0ˆi + 1.6ˆj

(b) The magnitude of the vector sum is

10

2

+ 1.6

2

= 10.2 mand its angle is tan

1

(1.6/10)

9.2

measured counterclockwise from the +x axis. The appearance of this solution would be quite
different using the vector manipulation capabilities of most modern graphical calculators, although
the principle would be basically the same.


Document Outline


Wyszukiwarka

Podobne podstrony:
p03 024
p03 024
03 2005 022 024
p03 062
p03 003
p03 025
70 024
p03 028
024
p03 041
p03 015
pf 09s022 024
p03 023
024 LS ka16
024 3 1 legal przek
p03 040
024 ROZ M I w sprawie dziennika budowy
P24 024

więcej podobnych podstron