Vectors 259
resultant of the two forces, and the direc-
tion of the resultant with respect to the 12N
force.
[17.35N at 18. 00 ◦to the 12N force]
- Velocities of 5m/s and 12m/s act at a point
at 90◦to each other. Calculate the resultant
velocity and its direction relativetothe12m/s
velocity.
[13m/s at 22. 62 ◦to the 12m/s velocity] - Calculate the magnitude and direction of the
resultant of the two force vectors shown in
Fig. 24.28.
[16.40 N at 37. 57 ◦to the 13N force]
10 N
13 N
Figure 24.28
- Calculate the magnitude and direction of the
resultant of the two force vectors shown in
Fig. 24.29.
[28.43 N at 129. 30 ◦to the 18 N force]
22 N
18 N
Figure 24.29
- A displacement vectors 1 is 30m at 0◦. A sec-
ond displacement vectors 2 is 12m at 90◦.
Calculate magnitude and direction of the
resultant vectors 1 +s 2.
[32.31m at 21. 80 ◦to the 30m
displacement] - Threeforcesof5N,8Nand13Nact as shown
in Fig. 24.30. Calculate the magnitude and
direction of the resultant force.
[14.72N at− 14. 72 ◦to the 5N force]
5N
13 N
8N
708
608
Figure 24.30
- Ifvelocityv 1 =25m/sat 60◦andv 2 =15m/s
at− 30 ◦, calculate the magnitude and direc-
tion ofv 1 +v 2.
[29.15m/s at 29. 04 ◦to the horizontal] - Calculate the magnitude and direction of the
resultant vector of the force system shown in
Fig. 24.31.
[9.28N at 16. 70 ◦]
308
158
608
6N
4N 8N
Figure 24.31
- Calculate the magnitude and direction of
the resultant vector of the system shown in
Fig. 24.32.
[6.89m/s at 159. 56 ◦]