1. A force, F = 100 N at an angle θ = 112^∘ from the z-axis. Write this vector in component form

Step 1: To write the vector in component form, we need to find the x-component and y-component o

Question

1. A force, F = 100 N at an angle \(\theta = 112^\circ\) from the z-axis. Write this vector in component form. Make sure to show all of your work. (4 pts.) 2. Three forces, \(F_1\), \(F_2\), and \(F_3\), are in static equilibrium. Find \(F_1\) if \(F_2 = 40\) N at \(\theta_2 = 35^\circ\) above the z-axis and \(F_3 = 25\) N at \(\theta_3 = 120^\circ\) above the z-axis. Put your solution in magnitude and direction form, and sketch the three vector forces. Make sure to show all of your work. (6 pts.) 3. How are the forces on the ring (the tension in each string) related to the length of the strings? Think about how we define ideal strings and the forces themselves. Give your answer in a few short sentences. (2 pts.) 4. An interesting aspect of this lab is that we could do all of the calculations using just the mass attached to each string. In a few short sentences, explain why this would work. You may find it helpful to demonstrate algebraically why it works. (3 pts.)

          1. A force, F = 100 N at an angle \(\theta = 112^\circ\) from the z-axis. Write this vector in component form. Make sure to
show all of your work. (4 pts.)
2. Three forces, \(F_1\), \(F_2\), and \(F_3\), are in static equilibrium. Find \(F_1\) if \(F_2 = 40\) N at \(\theta_2 = 35^\circ\) above the z-axis and
\(F_3 = 25\) N at \(\theta_3 = 120^\circ\) above the z-axis. Put your solution in magnitude and direction form, and sketch the
three vector forces. Make sure to show all of your work. (6 pts.)
3. How are the forces on the ring (the tension in each string) related to the length of the strings? Think about
how we define ideal strings and the forces themselves. Give your answer in a few short sentences. (2 pts.)
4. An interesting aspect of this lab is that we could do all of the calculations using just the mass attached to
each string. In a few short sentences, explain why this would work. You may find it helpful to demonstrate
algebraically why it works. (3 pts.)

1. A force, F = 100 N at an angle θ = 112^∘ from the z-axis. Write this vector in component form. Make sure to
show all of your work. (4 pts.)
2. Three forces, F1, F2, and F3, are in static equilibrium. Find F1 if F2 = 40 N at θ2 = 35^∘ above the z-axis and
F3 = 25 N at θ3 = 120^∘ above the z-axis. Put your solution in magnitude and direction form, and sketch the
three vector forces. Make sure to show all of your work. (6 pts.)
3. How are the forces on the ring (the tension in each string) related to the length of the strings? Think about
how we define ideal strings and the forces themselves. Give your answer in a few short sentences. (2 pts.)
4. An interesting aspect of this lab is that we could do all of the calculations using just the mass attached to
each string. In a few short sentences, explain why this would work. You may find it helpful to demonstrate
algebraically why it works. (3 pts.)

Added by Lisa S.

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