Tweedledum and Tweedledee are carrying a uniform wooden board that is LLL = 3.00 mm long and has a weight of w = 160 N. Tweedledum applies an upward force of magnitude F1 = 60.0 NN at the left end of the board. Which of the following is the correct equation for Στ for the given rotation axis? All rotation axes lie on the x-axis and torques that would cause a counterclockwise rotation are positive. Enter the letter(s) of the correct equation(s) in alphabetical order. For instance, if you thought that choices A, B, and D were correct, you would enter ABD.

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Chapter1: Units, Trigonometry. And Vectors
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Tweedledum and Tweedledee are carrying a uniform wooden board that is LLL = 3.00 mm long and has a weight of w = 160 N. Tweedledum applies an upward force of magnitude F1 = 60.0 NN at the left end of the board.

Which of the following is the correct equation for Στ for the given rotation axis? All rotation axes lie on the x-axis and torques that would cause a counterclockwise rotation are positive.

Enter the letter(s) of the correct equation(s) in alphabetical order. For instance, if you thought that choices A, B, and D were correct, you would enter ABD.

Answer Choices: 

  Axis of Rotation Et
A x=0 (1/2)wL+F2d=0
B x=L (1/2)wL-F2(L-d)-F1L=0
C x=0 (-1/2)wL+F2d=0
D x=d -F1d-F2(d-(1/2)L)=0
E x=(1/2)L (-1/2)F1L+F2(d-(1/2)L)
F x=(1/2)L (1/2)F1L+F2(d-(1/2)L)

 

**Part D**

Which of the following is the correct equation for \( \Sigma \tau \) for the given rotation axis? All rotation axes lie on the x-axis, and torques that would cause a counterclockwise rotation are positive.

| Axis of Rotation | \( \Sigma \tau \) |
|------------------|-------------------|
| A: \( x = 0 \)   | \( \frac{1}{2} wL + F_2 d = 0 \) |
| B: \( x = L \)   | \( \frac{1}{2} wL - F_2 (L - d) - F_1 L = 0 \) |
| C: \( x = 0 \)   | \( -\frac{1}{2} wL + F_2 d = 0 \) |
| D: \( x = d \)   | \( -F_1 d - F_2 (d - \frac{1}{2} L) = 0 \) |
| E: \( x = \frac{1}{2} L \) | \( -\frac{1}{2} F_1 L + F_2 (d - \frac{1}{2} L) \) |
| F: \( x = \frac{1}{2} L \) | \( \frac{1}{2} F_1 L + F_2 (d - \frac{1}{2} L) \) |

Enter the letter(s) of the correct equation(s) in alphabetical order. For instance, if you thought that choices A, B, and D were correct, you would enter ABD. 

**View Available Hint(s)**
Transcribed Image Text:**Part D** Which of the following is the correct equation for \( \Sigma \tau \) for the given rotation axis? All rotation axes lie on the x-axis, and torques that would cause a counterclockwise rotation are positive. | Axis of Rotation | \( \Sigma \tau \) | |------------------|-------------------| | A: \( x = 0 \) | \( \frac{1}{2} wL + F_2 d = 0 \) | | B: \( x = L \) | \( \frac{1}{2} wL - F_2 (L - d) - F_1 L = 0 \) | | C: \( x = 0 \) | \( -\frac{1}{2} wL + F_2 d = 0 \) | | D: \( x = d \) | \( -F_1 d - F_2 (d - \frac{1}{2} L) = 0 \) | | E: \( x = \frac{1}{2} L \) | \( -\frac{1}{2} F_1 L + F_2 (d - \frac{1}{2} L) \) | | F: \( x = \frac{1}{2} L \) | \( \frac{1}{2} F_1 L + F_2 (d - \frac{1}{2} L) \) | Enter the letter(s) of the correct equation(s) in alphabetical order. For instance, if you thought that choices A, B, and D were correct, you would enter ABD. **View Available Hint(s)**
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