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If F⃗ is the force acting on a particle having position vector r⃗ and ? ⃗ be the torque of this force about the origin, then:
Options
(a) r⃗ . ? ⃗ > 0 and F⃗ . ? ⃗ < 0
(b) r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ = 0
(c) r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ ≠ 0
(d) r⃗ . ? ⃗ ≠ 0 and F⃗ . ? ⃗ = 0
Correct Answer:
r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ = 0
Explanation:
? ⃗ = r⃗ x F⃗ ⇒ r⃗ . ? ⃗ = 0 and F⃗ . ? ⃗ = 0
Since, ? ⃗ is perpendicular to the plane of r⃗ and F⃗ , hence the dot product of ? ⃗ with r⃗ and F⃗ is zero.
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Topics: Motion of system of Particles and Rigid Body
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Subject: Physics
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