Import Question JSON

Current Question (ID: 10157)

Question:

$\text{A wheel with a radius of 20 cm has forces applied to it as shown in the figure. The torque produced by the forces of 4 N at } A\text{, 8 N at } B\text{, 6 N at } C\text{, and 9 N at } D\text{, at the angles indicated, is:}$

Options:

1. $5.4 \text{ N-m anticlockwise}$
2. $1.80 \text{ N-m clockwise}$
3. $2.0 \text{ N-m clockwise}$
4. $3.6 \text{ N-m clockwise}$

Solution:

$\text{Force 8 N can also be resolved in tangential and radial directions.}$ $\tau_{\text{net}} = (9 + 8 \sin 30° - 4)(0.2) \text{ N-m clockwise}$ $= 1.8 \text{ N-m clockwise}$

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}