A force `vecF = (3veci + 2vecj - 4veck)` N acts on a particle. The position of particel with respect to origin O is `vecr = (veci + 2vecj)`m. Find the torque acting on the particel and calculate its magnitude.

A force vecF = (2hati + 3hatj) N acts on particle, whose position with respect to the 'O' of an inertial frame of reference is given by vecr = (3hati + 2hatj) m determine the torque acting on the particel.

A force oversetrarrF =(4hati + 2hatj -hatk) N acts on a body at a distance of oversetrarrr = (-hati-3hatj + hatk) m from the origin of an inertial reference frame. Find the torque acting on the body.

If the position vector of a body performing rectilinear motion is given by vecr = 3t^2hati + 4t^2hatj m. Find the velocity and acceleration of the particle at t= 1sec.

A force F = (2 + x) acts on a particle in x-direction, where F is in newton and x is in metre. Find the work done by this force during a displacement from x = 1m to x = 2m

What is the torque of force vec F = (2hati -2hatj - 4hatk) N acting at a point vec r = (3hati + 2hatj) m about the origin?

Choose the correct options A force F = (0.5x + 12) N acts on a particle. If x is in metres, calculate the work done by the force during the displcement of the particle from x= 0 to x = 4 m

A force vec(F)=3hat(i)+chat(j) +2hat(k) acting on a particle causes a displacement vec(d)=-4hat(i)+2hat(j)+3hat(k) . If the work done is 6j . Find the value of 'c' ?

A certain force acts on a body at rest. If after 10 seconds the body moves with a velocity of 20 m/s and if its mass is 3 kg, find the magnitude of the force acting on the body.

Chose the correct option A force oversetrarrF = (2hati- 10hatj + 12hatk) N acts as a particle which moves along the positive Z axis. If it covers a distance of 10 m, the work done is

A particle is executing SHM with amplitude A. At displacement x=(-A/4) , force acting on the particle is F, potential energy of the particle is U, velocity of particle is v and kinetic energy is K. Assuming potential energyh to be zero at mean position. At displacement x=A/2