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Find the torque of a force (5 hati - 2 h...

Find the torque of a force `(5 hati - 2 hatj + 3 hatk)` about the origin, which acts on a particle whose position vector is `( hati - hatj + hatk)`.

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AI Generated Solution

To find the torque of a force about the origin, we use the formula: \[ \text{Torque} (\tau) = \mathbf{R} \times \mathbf{F} \] where \(\mathbf{R}\) is the position vector of the point of application of the force, and \(\mathbf{F}\) is the force vector. ...
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Find the torque of a force (5 hati - 2 hatj + 7 hatk) about the origin, which acts on a particle whose position vector is (2 hati - hatj + hatk) .

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Knowledge Check

  • What is the torque of a force 3hati+7hatj+4hatk about the origin, if the force acts on a particle whose position vector is

    A
    `hati - 5hatj + 8 hatk`
    B
    `2hati + 2hatj + 2hatk`
    C
    `hati + hatj + hatk`
    D
    `3hati + 2hatj + 3hatk`
  • What is the torque of a force 3hati+7hatj+4hatk about the origin if the force acts on a particle whose position vector is 2hati+2hatj+1hatk ?

    A
    `hati-hatj+8hatk`
    B
    `2hati+2hatj+2hatk`
    C
    `hati+hatj+hatk`
    D
    `3hati+2hatj+3hatk`
  • Find the torque of a force vecF=2hati+hatj+4hatk acting at the point vecr=7hati+3hatj+hatk :

    A
    `14hati-38hatj-16hatk`
    B
    `4hati+4hatj+6hatk`
    C
    `-14hati+38hatj-16hatk`
    D
    `11hati-26hatj+hatk`
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    Find the torque of a force (7 hati + 3hatj - 5hatk) about the origin. The force acts on a particle whose position vector is (hati - hatj + hatk) .

    (i) Find the torque of a force 7hati + 3hatj - 5hatk about the origin. The force acts on a particle whose position vector is hati - hatj + hatk . (ii) Show that moment of a couple does not depend on the point about which you take the moments.

    Find the torque about the origin when a force of 3 hatj N acts on a particle whose position vector is 2 hatk m

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    Find the torque of a force vecF= -3hati+hatj+5hatk acting at the point vecr=7hati+3hatj+hatk