Question

What is the relationship between the three forces?

• A. $\frac{F_1}{cos{\theta }_1}=\frac{F_2}{cos{\theta }_2}=\frac{F_3}{cos{\theta }_3}$
• B. $\frac{F_1}{sin{\theta }_1}=\frac{F_2}{sin{\theta }_2}=\frac{F_3}{sin{\theta }_3}$
• C. $\frac{F_1}{tan{\theta }_1}=\frac{F_2}{tan{\theta }_2}=\frac{F_3}{tan{\theta }_3}$
• D. $\frac{F_1}{cot{\theta }_1}=\frac{F_2}{cot{\theta }_2}=\frac{F_3}{cot{\theta }_3}$

Answer 1

The correct option is B $\frac{F_1}{sin{\theta }_1}=\frac{F_2}{sin{\theta }_2}=\frac{F_3}{sin{\theta }_3}$

You can solve this with all the tools in your kit now! Just pick a pair of axes, resolve all the forces along them and separately apply F=ma. Try for 3-4 minutes to get this on your own. Then proceed to the next video for the explanation.