Home
Class 11
PHYSICS
A force of vecF = (4hati-3hatj+5hatk)N i...

A force of `vecF = (4hati-3hatj+5hatk)N` is applied at a point whose position vector is `vec r = (7hati+4hatj-2hatk)m`. Find the torque of force about the origin.

Text Solution

Verified by Experts

`vecr = 7hati + 4hatj - 2hatk`
`vecF = 4hati - 3hatj + 5hatk`
Torque , `vectau = vecr xx vecF`
`vectau = |{:(hati , hatj , hatk),(7,4,-2),(4,-3,5):}|`
`vectau = hati (20-6) -hatj(35+8) + hatk (-21-16)`
`vectau = (14hati - 43 hatj - 37 hatk)`Nm
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 15 (UNSOLVED)

    FULL MARKS|Exercise Part-III|9 Videos
  • SAMPLE PAPER 15 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|10 Videos
  • SAMPLE PAPER 15 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|10 Videos
  • SAMPLE PAPER 13 (UNSOLVED)

    FULL MARKS|Exercise Part -IV|10 Videos
  • SAMPLE PAPER-14 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|10 Videos

Similar Questions

Explore conceptually related problems

A force of (2hati+3hatj+5hatk)N is is applied at a point whose position vector is (7hati+4hatj-2hatk)m . Find the torque of force about the origin.

When a force vecF=(hati+2hatj+3hatk) is applied to body, it undergoes a displacement along a vector vecs=(2hati-hatj+6hatk) . Calculate the work done by the body.

Find the image of the point whose position vector is hati+2hatj+3hatk in the plane vecr.(hati+2hatj+4hatk)=38 .

A force vecF= alpha hat i +3 hatj+6hatk is acting at a point vec r =2hati-6hatj-12 hatk .The value of alpha for which angular momentum about origin is conserved is: