Home
Class 12
PHYSICS
A force of (2 hati - 4 hatj + 2 hatk )N ...

A force of `(2 hati - 4 hatj + 2 hatk )`N act a point `(3 hati+2 hatj -4 hatk)` metre form the origin. The magnitude of torque is

A

Zero

B

24.4N-m

C

0.244N-m

D

2.444N-m

Text Solution

Verified by Experts

(2) `vecF=(2hati-4hatj+2hatk) and vecr=(3hati+2-4hatk)`meter Torque`vectau=vecrxxvecF=|hati(3)(2) hatj (2)(-4)hatk(-4)(2)|rArrvectau=-12hati-14hatj-16hatk and |vectau|=sqrt((-12)^2+(-14)^2+(-16)^2)=24.4N-m.`
Promotional Banner

Similar Questions

Explore conceptually related problems

A force vecF = (hati + 2hatj +3hatk)N acts at a point (4hati + 3hatj - hatk)m . Then the magnitude of torque about the point (hati + 2hatj + hatk)m will be sqrtx N-m. The valueof x is ___________

A force (2.00hati-4.00hatj+2.00hatk)N acts on a particle located at (3.00hati+2.00hatj-4.00hatk)m . What is the magnitude of the torque on the particle as measured about the origin?

The torque of the force vecF=(2hati-3hatj+4hatk)N acting at the point vecr=(3hati+2hatj+3hatk)m about the origin be

The torque of force F =(2hati-3hatj+4hatk) newton acting at the point r=(3hati+2hatj+3hatk) metre about origin is (in N-m)

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 )

Force hati + 2hatj -3hatk , 2hati + 3hatj + 4hatk and -hati - hatj + hatk are acting at the point P(0,1,2) . The moment of these forces about the point A(1,-2,0) is

The torpue of force vecF=-2hati+2hatj+3hatk acting on a point vecr=hati-2hatj+hatk about origin will be :

A particle is acted upon by constant forces 4hati +hatj - 3hatk and 3hati + hatj -hatk which displace it from a point hati + 2hatj + 3hatk to the point 5hati + 4hatj + hatk . The work done in standard units by the forces is given by: