Home
Class 12
PHYSICS
The moment of the force, vec F = 4 hati ...

The moment of the force, `vec F = 4 hati + 5 hat j - 6 hat k` at `(2, 0 , - 3)`. About the point `(2, - 2, -2)` is given by

A

`-7hati-8hatj-4hatk`

B

`-6hati-hatj-8hatk`

C

`-8hati-4hatj-7hatk`

D

`-7hati-4hatj-8hatk`

Text Solution

Verified by Experts

The correct Answer is:
D

`hat tau=(hatr-hatr_(0))xxhatf" "(i)`
`hatr-hatr_(0)=(2hati+0hatj-3hatk)-(3hati-2hatj-2hatk)`
`=0hati+2hatj-hatk`
`hattau=|{:(hati,hatj,hatk),(0,2,-1),(4,5,-6):}|=-7hati-4hatj-8hatk`
Promotional Banner

Similar Questions

Explore conceptually related problems

The moment of the force, vec F = 4 hati + 5 hat j = 6 hat k t (2, 0 , - 3). About the point (2, - 2, 2) is given by

The work done by a force vec F = 3 hat i -4hat j +5hat k displaces the body from a point (3,4,6) to a point (7,2,5) is

Find the moment of vec F about point (2,-1,3), where force vec F=3hat i+2hat j-4hat k is acting on point (1,-1,2)

A vector vec C when added to the resultant of the vectors vec A = 3 hati -4 hat j + 5 hat k and vec B = 2 vec 2 hat I + 3 hat j -4 hat k giv es a unit vector along y-axis. Find the magnitude of vec C .

A force vec(F) = 4hat(i) + 3hat(j) - 2hat(k) is passing through the origin. Its moment about point (1,1,0) is

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

Find the moment about (1,-1,-1) of the force 3hat(i)+4hat(j)-5hat(k) acting at (1, 0,-2) .

A force vec(F) = 3 hat(i) + 2hat(j) - 4hat(k) is applied at the point (1, -1, 2) . What is the moment of the force about the point (2 , -1, 3) ?

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) ?

The moment of a force represented by F=hat(i)+2hat(j)+3hat(k) about the point 2hat(i)-hat(j)+hat(k) is equal to