Home
Class 12
MATHS
Find the moment about (1,-1,-1) of the f...

Find the moment about (1,-1,-1) of the force `3hati+4hatj-5hatk` acting at (1,0,-2)

Text Solution

Verified by Experts

`vecF=3hati+hatj-5hatk`
`vecPA=P.V. of A-P.V. of P`
`=(hati-2hatj)-(hati-hatj-hatk)`
`=-hatj+hatk`
Required vector moment = `vecPAxxvecF`
`=(-hatj+hatk)xx(3hati+4hatj-5hatk)`
`=|{:(hati,hatj,hatk),(0,-1,0),(3,4,-5):}|`
`=hati+3hatj+3hatk`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Exercise 2.1|18 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Exercise 2.2|15 Videos
  • DETERMINANTS

    CENGAGE ENGLISH|Exercise All Questions|264 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise Matrix Match Type|5 Videos

Similar Questions

Explore conceptually related problems

If the magnitude of the moment about the pont hatj+hatk of a force hati+alphahatj-hatk acting through the point hati+hatj is sqrt(8) , then the value of alpha is

The moment of the couple formed by the forces 5hati +hatj and -5hati - hatk acting at the points (9 ,-1,2) and ( 3,-2,1) respectively, is

Find the torque (vectau=vecrxxvecF) of a force vecF=-3hati+hatj+3hatk acting at the point vecr=7hati+3hatj+hatk

Find the torque of a force vecF=-3hati+2hatj+hatk acting at the point vecr=8hati+2hatj+3hatk about origin

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

What is the torque of the force vecF=(2hati+3hatj+4hatk)N acting at the point vecr=(2hati+3hatj+4hatk)m about the origin? (Note: Tortue, vectau=vecrxxvecF )

(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 of a force (7 hati + 3hatj - 5hatk) about the origin. The force acts on a particle whose position vector is (hati - hatj + hatk) .

Find the torque of a force vecF=2hati+hatj+4hatk acting at the point vecr=7hati+3hatj+hatk :

Find the angle between the force vecF(5hati+4hatj-3hatk) units and displacement vecd=(3hati+4hatj+5hatk) unit. Also find the projection of vecF on vecd