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Rosey Anand Tiwari
Asked: 2022-11-10T16:43:48+05:30 In:

If `vec F` is the force acting in a particle having position vector `vec r` and `vec tau` be the torque of this force about the origin, then
A. `vec r. vec tau ne 0 and vec F. vec tau = 0`
B. `vec r. vec tau gt 0 and vec F. vec tau lt 0`
C. `vec r. vec tau = 0 and vec F. vec tau = 0`
D. `vec r. vec tau = 0 and vec F. vec tau ne 0`

If `vec F` is the force acting in a particle having position vector `vec r` and `vec tau` be the torque of this force about the origin, then
A. `vec r. vec tau ne 0 and vec F. vec tau = 0`
B. `vec r. vec tau gt 0 and vec F. vec tau lt 0`
C. `vec r. vec tau = 0 and vec F. vec tau = 0`
D. `vec r. vec tau = 0 and vec F. vec tau ne 0`
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1 Answer

  1. Correct Answer – C
    ( c) Torque is an axial vector i.e., its direction is always perpendicular to the plane containing vectors `vec r` and `vec F`.
    `vec tau = vec r xx vec F`
    Torque is perpendicular to both `vec r` and `vec F`
    :. `vec tau . vec r = 0`
    `vec F . vec tau = 0`.

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