Practice question
Question
A force F = 3 i + 4 j N acts at a point with position vector r = 2 i - 1 j m . What is the magnitude of the torque about the origin?
Explanation
Given:
A force F = 3 i + 4 j N acts at a point with position vector r = 2 i - 1 j m . What is the magnitude of the torque about the origin?
These values define the system as per NCERT data.
Formula:
Torque: tau = r × F = beginvmatrix i & j & k 2 & -1 & 0 3 & 4 & 0 endvmatrix = k (2 × 4 - (-1) × 3) = k (8 + 3) = 11 k Nm.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Magnitude = 11 Nm .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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