**Question 7** Three forces with magnitudes 70 pounds, 100 pounds, and 20 pounds act on an object at angles 50°, -40°, and 110° respectively, with the positive x-axis. Find the direction and magnitude of the resultant force. Draw a diagram of your analysis, and include the resultant force.**Analysis:**To solve this problem, we need to determine the components of each force in the x and y directions, sum these components, and then find the magnitude and direction of the resultant force.### Step-by-Step Solution:1. **Resolve each force into x and y components using trigonometry:** - **Force \( F_1 \) (70 pounds at 50°):** \( F_{1x} = 70 \cos(50°) \) \( F_{1y} = 70 \sin(50°) \) - **Force \( F_2 \) (100 pounds at -40°):** \( F_{2x} = 100 \cos(-40°) \) \( F_{2y} = 100 \sin(-40°) \) - **Force \( F_3 \) (20 pounds at 110°):** \( F_{3x} = 20 \cos(110°) \) \( F_{3y} = 20 \sin(110°) \)2. **Calculate the numerical values of the components:** Use a calculator (ensure it is in degree mode): - \( F_{1x} = 70 \cos(50°) \approx 45 \) - \( F_{1y} = 70 \sin(50°) \approx 54 \) - \( F_{2x} = 100 \cos(-40°) \approx 77 \) - \( F_{2y} = 100 \sin(-40°) \approx -64 \) - \( F_{3x} = 20 \cos(110°) \approx -7 \) - \( F_{3y} = 20 \sin(110°) \approx 19 \)3. **Sum the x and y components:** - \( R_x = F_{1x} + F_{2x} + F_{3x} \) \( R

Refer to the figure below : The above figure depicts all the forces in vector form. The angle that…

Answered: Three forces with magnitudes 70 pounds,…

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