Practice question
Question
A force F = 7 i + 3 j N acts at r = -2 i + 1 j m . What is the magnitude of the torque about the origin?
Explanation
Given:
A force F = 7 i + 3 j N acts at 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:
tau = r × F = beginvmatrix i & j & k -2 & 1 & 0 7 & 3 & 0 endvmatrix = k ((-2) × 3 - 1 × 7) = k (-6 - 7) = -13 k Nm.
This is standard NCERT relation.
Substitution & Calculation:
Magnitude = 13 Nm .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
Discussion
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