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A force (hati-2hatj+3hatk) acts on a par...

A force `(hati-2hatj+3hatk)` acts on a particle of position vector `(3hati+2hatj+hatk)`. Calculate the torque acting on the particle.

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To calculate the torque acting on a particle due to a force, we use the formula for torque (τ), which is given by the cross product of the position vector (r) and the force vector (F): \[ \tau = \mathbf{r} \times \mathbf{F} \] ### Step 1: Identify the vectors Given: ...
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(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.

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AAKASH INSTITUTE ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
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  12. vecA=(3hati+2hatj-6hatk) and vecB=(hati-2hatj+hatk), find the scalar p...

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  13. vecA=(hati-2hatj+6hatk) and vecB=(hati-2hatj+hatk), find the cross pro...

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  14. Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

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  15. Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well ...

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  17. The angular velocity of a rigid body is 24 rad s^(-1), Calculate the t...

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  18. The angular velocity of circular disc of radius 2cm is 20 rad s^(-1). ...

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  19. What is the angular velocity of a particle lying on the axis of rotati...

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  21. A wheel is rotating with an angular velocity of 3 rad s^(-1). If the a...

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