Question

26. Two force vectors are given by:

F1: 10.0N at 53 degrees counterclockwise from (above) the +x axis and

F2: 12.5N at 30 degrees clockwise from the -y axis.

Let the sum be R=F1+F2

A.)Draw a diagram, find the sum R and write it with components and unit vectors.

B.)Give the magnitude of R and its direction as an angle referred to any appropriate axis. Specify the angle carefully.  

Answer 1

niven foces Fand dinection 4 f porce- Qud o N Countenclackoide pezee aud 53 tuetx Cuxis aud for F, - 12.5 N 30 alockwise and (A) 44 oxis 10 N FsinsA 53 sin30 -X Xaxis Cos20 2.5N Campan.euds F Cos 53 () = 10 x 0.601 F sn 5a ) = 10 x 0. 796 sin 30 1-23 Cas 30 (1) 6.01 N i) 7.98 N 6.25N 1) = 125x0.866- lo.82 N (-3) -12.5 X 0.S

le aud E fore es loet ween 53 9o 3 0 33 Valid thn Couwten clo ckuwise) १ale - ३6०-1735187' am R ২ ot2.5)2 +2 (10) (n s) Cas 18) R- 00+ 156.25t 250 x 0.9925 : र 2 56-25-248 123 Direel R- -125 R 85 N

Resultant fohee in xdliuecfion 6.25i)t 601i 0.24 Resultant in dlinection fonce 798 ( + 10.92 1-i) 2.3y (-J)

tan ) 2x ২ ৪५ tan 5.16 -24 i +85-16 f70m X-axis Clockwise le a