Home
Class 11
PHYSICS
Find the torque of the force vec(F)=(2ha...

Find the torque of the force `vec(F)=(2hat(i)-3hat(j)+4hat(k))` N acting at the point `vec(r )=(3hat(i)=2hat(j)+3hat(k))`m about the origion.

Text Solution

Verified by Experts

`vec(tau)=vec(r )xxvec(F)= |(hat(i), hat(j), hat(k)) ,(3,2,3), (2,-3 ,4)|`
`=[(2xx4)-(3xx-3)]hat(i)+[(2xx3)-(3xx4)]hat(j)+[(3xx-3)-(2xx2)]hat(k)`
`=17hat(i)-6hat(j)-13hat(k)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Subjective|28 Videos
  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Single Correct|51 Videos
  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise 3.1|19 Videos
  • TRAVELLING WAVES

    CENGAGE PHYSICS|Exercise Integer|9 Videos
  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives (integer)|4 Videos

Similar Questions

Explore conceptually related problems

The torque of a force vec(F)=-2hat(i)+2hat(j)+3hat(k) acting on a point vec(r )=hat(i)-2hat(j)+hat(k) about origin will be

The torque of force vec(F)=-3hat(i)+hat(j)+5hat(k) acting at the point vec(r)=7hat(i)+3hat(j)+hat(k) is ______________?

Find the torque of a force F=-3hat(i)+2hat(j)+hat(k) acting at the point r=8hat(i)+2hat(j)+3hat(k),(iftau=rxxF)

Find the scalar and vector products of two vectors vec(a)=(2hat(i)-3hat(j)+4hat(k)) and vec(b)(hat(i)-2hat(j)+3hat(k)) .

What is the magnitude of the moment of the couple consisting of the force vec(F)=3 hat(i)+2hat(j)-hat(k) acting through the point hat(i)-hat(j)+hat(k) and -vec(F) acting through the point 2hat(i)-3hat(j)-hat(k) ?

Find the sum of the vectors vec(a)=(hat(i)-3hat(k)), vec(b)=(2hat(j)-hat(k)) and vec(c)=(2hat(i)-3hat(j)+2hat(k)) .

A force vec(F) = (2 hat(i) + 3 hat(j) + 4 hat(k)) N is applied to a point having position vector vec(r) = (3 hat(i) + 2 hat(j) + hat(k)) m. Find the torque due to the force about the axis passing through origin.

Find the volume of the parallelepiped whose edges are represented by the vectors vec(a)=(2hat(i)-3hat(j)+4hat(k)), vec(b)=(hat(i)+2hat(j)-hat(k)) and vec(c)=(3hat(i)-hat(j)+2hat(k)) .

If vec(a)=(hat(i)-hat(j)+2hat(k)) and vec(b)=(2hat(i)+3hat(j)-4hat(k)) then |vec(a)xx vec(b)|=?

vec(r )=(-4hat(i)+4hat(j) +hat(k)) + lambda (hat(i) +hat(j) -hat(k)) vec(r)=(-3hat(i) -8hat(j) -3hat(k)) + mu (2hat(i) +3hat(j) +3hat(k))