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NEET 2009
Exam
NEET
Year
2009
Subject
Physics
Chapter
Rotational Motion

NEET 2009 · Physics · Rotational Motion

If F is the force acting on a particle having position vector r and...

If F→\overrightarrow{\mathrm{F}} is the force acting on a particle having position vector r→\overrightarrow{\mathrm{r}} and τ⃗\vec{\tau} be the torque of this force about the origin, then :

Options

  1. Ar⃗⋅τ⃗=0\vec{r} \cdot \vec{\tau}=0 and F⃗⋅τ⃗≠0\vec{F} \cdot \vec{\tau} \neq 0
  2. Br→⋅τ⃗≠0\overrightarrow{\mathrm{r}} \cdot \vec{\tau} \neq 0 and F⃗⋅τ⃗=0\vec{F} \cdot \vec{\tau}=0
  3. Cr⃗⋅τ⃗>0\vec{r} \cdot \vec{\tau}>0 and F⃗⋅τ⃗<0\vec{F} \cdot \vec{\tau} < 0
  4. Dr→⋅τ⃗=0\overrightarrow{\mathrm{r}} \cdot \vec{\tau}=0 and F⃗⋅τ⃗=0\vec{F} \cdot \vec{\tau}=0

Correct answer

D. r→⋅τ⃗=0\overrightarrow{\mathrm{r}} \cdot \vec{\tau}=0 and F⃗⋅τ⃗=0\vec{F} \cdot \vec{\tau}=0

Step-by-step solution

τ⃗=r→×F→\vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{F}} τ⃗\vec{\tau} is perpendicular to r→\overrightarrow{\mathrm{r}} and F⃗\vec{F}.
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