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Find the torque about the origin when a ...

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

A

`6 hati N/m`

B

`6 hatj N/m`

C

`-6 hati N/m`

D

`6 hatk N/m`

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(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.

The force 7 hat i+ 3 hat j - 5 hat k acts on a particle whose position vector is hat i- hat j + hat k . What is the torque of a given force about the origin ?

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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) .

    A
    `2hati+12hatj+10hatk`
    B
    `2hati+10hatj+12hatk`
    C
    `2hati+10hatj+10hatk`
    D
    `10hati+2hatj+hatk`

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    Two forces -hati+2hatj-hatk and 2hati-5hatj+6hatk act on a particfle whose position vector is 4hati-3hatj+2hatk and displace it to another point whose positon vector is 6hati+hatj-3hatk . Find the total work done by the force.

    Find the vector equation of a lin e passes through the point whose position vector is (2hati-hatj-hatk) and parallel to vector hati+5hatk .

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    The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin.If the force acting it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians):

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