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A force F = 2.0 N acts on a particle P in the XZ-plane. The force F is parallel to X-axis. The particle P (as shown in the figure) is at a distance 3 m and the line joining P with the origin makes angle 30° with the X-axis. The magnitude of torque on P w.r.t. origin O (in N-m) is [AMU 2011)

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a

2

b

3

c

4

d

5

answer is B.

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Detailed Solution

As, torque, τ=F⋅rsin⁡θ=2×3×sin⁡30∘ (Given)⇒ τ=6×12=3N−m

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A force F = 2.0 N acts on a particle P in the XZ-plane. The force F is parallel to X-axis. The particle P (as shown in the figure) is at a distance 3 m and the line joining P with the origin makes angle 30° with the X-axis. The magnitude of torque on P w.r.t. origin O (in N-m) is [AMU 2011)