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everything maths and science - C2B2A

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Oplossings vir oefeninge<br />

1 Vektore in twee dimensies<br />

Oefening 1 – 2:<br />

1. Rx = 1 N<br />

2. Rx = 1,3 N en Ry = −1 N<br />

3. Rx = 2 N en Ry = 3 N<br />

Oefening 1 – 5: Algebraïese optel van vektore<br />

1. 28,6 N by 53,53 ◦<br />

2. 25,4 N by 159,21 ◦<br />

Oefening 1 – 6:<br />

1. • Fx = 3,54 N, Fy = 3,54 N<br />

• Fx = 6,81 N, Fy = 13,37 N<br />

• Fx = −6,80 N, Fy = 9,02 N<br />

• Fx = −52,83 N,<br />

Fy = −113,29 N<br />

2. • Fx = 9,22 × 10 4 N,<br />

Oefening 1 – 7:<br />

3. Rx = 1 N, Ry = 0 N<br />

4. Rx = 1,6 N, Ry = 0,2 N<br />

5. Rx = 1,4 N, Ry = 1,7 N<br />

12. 3,25 N by 45 ◦<br />

13. a) Fx = 96,29 N en Fy =<br />

41,87 N<br />

b) Fx = 13,95 N en Fy =<br />

23,12 N<br />

4. Rx = −2,5 N en Ry = 2,5 N<br />

5. Fx = 2,8 N en Fy = −5 N<br />

3. 2,69 N by 328,67 ◦<br />

4. 186,4 ◦<br />

Oplossings<br />

Fy = 5,99 × 10 4 N<br />

• Fx = 13,2 GN, Fy = 7,04 GN<br />

• Fx = −2,54 kN,<br />

Fy = 11,01 kN<br />

• Fx = 9,14 × 10 6 N,<br />

Fy = −8,52 × 10 6 N<br />

c) Fx = 9,02 N en Fy = −6,8 N<br />

d) Fx = −62,97 N en Fy =<br />

−135,04 N<br />

e) Fx = 3,89 N en Fy = 14,49 N<br />

f) Fx = 14,43 N en Fy = 3,71 N<br />

g) Fx = −6,22 N en Fy = 9,43 N<br />

h) Fx = −136,72 N en Fy =<br />

99,34 N<br />

495

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