Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Physics and Mathematics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Physics and Mathematics
Based on the figure, determine the angle that the resultant of OA ,...
Based on the figure, determine the angle that the resultant of , and makes with the X-axis.
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
OA_x = 2.0 \cos 30^\{}^{{}^{\circ}} = 2.0 \times \dfrac{\sqrt{3}}{2} \approx 1.732 \text{ m}
OA_y = 2.0 \sin 30^\{}^{{}^{\circ}} = 2.0 \times \dfrac{1}{2} = 1.0 \text{ m}
BC_x = -1.5 \cos 60^\{}^{{}^{\circ}} = -1.5 \times \dfrac{1}{2} = -0.75 \text{ m}
BC_y = 1.5 \sin 60^\{}^{{}^{\circ}} = 1.5 \times \dfrac{\sqrt{3}}{2} \approx 1.299 \text{ m}
OA_y = 2.0 \sin 30^\{}^{{}^{\circ}} = 2.0 \times \dfrac{1}{2} = 1.0 \text{ m}
BC_x = -1.5 \cos 60^\{}^{{}^{\circ}} = -1.5 \times \dfrac{1}{2} = -0.75 \text{ m}
BC_y = 1.5 \sin 60^\{}^{{}^{\circ}} = 1.5 \times \dfrac{\sqrt{3}}{2} \approx 1.299 \text{ m}