°

°

°

°

𝑉1= 𝑀 cos 𝜃 = 14 cos 23°

𝑉1 = 12.89

𝑉2= 𝑀 cos 𝜃 = −11 cos 16°

𝑉2 = −10.57

𝑉3= 𝑀 cos 𝜃 = −12 cos 34°

𝑉3 = −9.95

𝑉4= 𝑀 cos 𝜃 = 6 cos 27°

𝑉4 = 5.35

𝑉1= 𝑀 sin 𝜃 = 14 sin 23°

𝑉1 = 54.70

𝑉2= 𝑀 sin 𝜃 = 11 sin 16°

𝑉2 = 3.03

𝑉3= 𝑀 sin 𝜃 = −12 sin 34°

𝑉3 = −67.10

𝑉4= 𝑀 sin 𝜃 = −6 sin 27°

𝑉4 = −2.72

𝑥 = 38.76

𝑦 = 127.55

𝑅 = 𝑥

2

+ 𝑦

2

𝑅 = −2.282 +−12.092

= 5.1984 + 146.1681

= 151.3665 = 12.30 𝑁

𝜃.

tan 𝜃 = 𝑦

𝑥

𝜃 = tan−1 𝑦

𝑥

𝜃 = tan−1−12.09

−2.28

𝜃 = 79.32°

°