The torque of a force `vecF` about a point is defined as `vecGamma=vecrxxvecF`. Suppose `vecr,vecF and vecGamma` are all nonzero. Is `vecrxxvecGamma||vecF` always true? Is it ever true?

Find the torque of a force vecF=-3hati+hatj+5hatk acting at the point vecr=7hati+3hatj+hatk :

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

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

If vecF is the force acting on a particle having position vector vecr and vectau be the torque of this force about the region, then :

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 )

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

If a position vector of a point is vecr=7hati+3hatj+hatk and force acting on it is vecF=-3hati+hatj+5hatk then find torque.

The force acting on a particle vecr=(4,6,12)m of a rigid body is vecF=(6,8,10)N . Find the magniude of the torque producing the rotational motion. Axis of rotation is along the unit vector (1)/(sqrt(3))(1,1,1) .

A force vecF=alphahati+3hatj+6hatk is acting at a point vecr=2hati-6hatj-12hatk . The value of .alpha. for which angular momentum about origin is conserved is ……………