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Question

If F is a force acting on a particle having the position vector r and τ is the torque due to this force about the origin, then-

A
rτ=0
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B
rτ0
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C
Fτ=0
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D
Fτ0
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Solution

The correct option is C Fτ=0
As we know that cross product of the two vectors is always perpendicular to both individual vectors.

Torque on the particle about origin is,

τ=r×F

So,
τ(r and F)

r(r×F); F(r×F)

rτ=r(r×F)=0

Fτ=F(r×F)=0

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, options (A) and (C) are the correct answer.
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Why this question ?

This question involves the idea of torque on a particle. Torque is always perpendicular to the plane formed by force vector and position vector.



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