Home
Class 11
PHYSICS
Find the torque of a force F=a(hati+2hat...

Find the torque of a force `F=a(hati+2hatj+3hatk)` `N` about a point O. The position vector of point of application of force about `O` is `r=(2hati+3hatj-hatk)` `m`.

Text Solution

AI Generated Solution

To find the torque \( \tau \) of a force \( \mathbf{F} = a(\hat{i} + 2\hat{j} + 3\hat{k}) \) about a point \( O \), given the position vector \( \mathbf{r} = (2\hat{i} + 3\hat{j} - \hat{k}) \), we can follow these steps: ### Step 1: Write down the given vectors We have: - Force vector: \[ \mathbf{F} = a(\hat{i} + 2\hat{j} + 3\hat{k}) = a\hat{i} + 2a\hat{j} + 3a\hat{k} \] ...
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Solved Examples|25 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Miscellaneous Examples|2 Videos
  • ROTATION

    DC PANDEY ENGLISH|Exercise (C) Chapter Exercises|39 Videos
  • ROTATIONAL MOTION

    DC PANDEY ENGLISH|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

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

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

(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.

A force F=(2hati+3hatj+4hatk)N is acting at point P(2m,-3m,6m) find torque of this force about a point O whose position vector is (2hati-5hatj+3hatk) m.

A line passes through the points whose position vectors are hati+hatj-2hatk and hati-3hatj+hatk . The position vector of a point on it at unit distance from the first point is (A) (1)/(5)(5hati+hatj-7hatk) (B) (1)/(5)(5hati+9hatj-13hatk) (C) (hati-4hatj+3hatk) (D) (1)/(5)(hati-4hatj+3hatk)

The work done by a force F=(hati+2hatj+3hatk) N ,to displace a body from position A to position B is [The position vector of A is r_(1)=(2hati+2hatj+3hatk)m The position vector of B is r_(2)=(3hati+hatj+5hatk)m ]

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

A force F= 2hati+3hatj-hatk acts at a point (2,-3,1). Then magnitude of torque about point (0,0,2) will be