Practice question
Question
A force F = -2 i + 3 j N acts at r = 1 i + 2 j m . What is the torque about the origin?
Explanation
Given:
A force F = -2 i + 3 j N acts at r = 1 i + 2 j m . What is the torque about the origin?
Formula:
tau = r × F = beginvmatrix i & j & k 1 & 2 & 0 -2 & 3 & 0 endvmatrix = k (1 × 3 - 2 × (-2)) = k (3 + 4) = 7 k Nm ..
Substitution:
Substituting given values into formula as per NCERT 2026-27 method.
Calculation:
Simplifying step by step with proper SI units like m/s², J kg⁻¹ K⁻¹, 10⁻⁵, A m⁻¹ etc.
Final Result:
The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.
Discussion
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