A particle of mass `2 mg` located at the position `(hat i+ hat k) m` has a velocity `2(+ hat i- hat j + hat k) m//s`. Its angular momentum about `z-`axis in `kg-m^(2)//s` is :

A particle of mass 2 kg located at the position (hat i+ hat k) m has a velocity 2(+ hat i- hat j + hat k) m//s . Its angular momentum about z- axis in kg-m^(2)//s is :

The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) + 6 hat(k)" " "when at" " " vec(r) = - 2 hat(i) + 4 hat (j) + 6 hat(k). The angular momentum of the particle about the origin is

The velocity of a particle of mass m is vec(v) = 5 hat(i) + 4 hat(j) + 6 hat(k)" " "when at" " " vec(r) = - 2 hat(i) + 4 hat (j) + 6 hat(k). The angular momentum of the particle about the origin is

Two particles of mass 1 kg and 3 kg have position vectors 2 hat i+ 3 hat j + 4 hat k and -2 hat i+ 3 hat j - 4 hat k respectively. The centre of mass has a position vector.

A particle having mass 2 kg is moving with velcoity (2 hat(i) + 3 hat(j))m//s . Find angular momentum of the particle about origin when it is at (1, 1, 0).

The position of a particle is given by vec r = hat i + 2hat j - hat k and its momentum is vec p = 3 hat i + 4 hat j - 2 hat k . The angular momentum is perpendicular to

A particle is moving with speed 6 m//s along the direction of vec(A) =2 hat i+2 hat j- hat k , then its velocity is :

A uniform force of ( 3hat(i)+hat(j)) N acts on an particle of mass 2 kg . Hence the particle is displaced from position (2hat(i)+hat(k)) m to position (4hat(i)+3hat(j)-hat(k)) m . The work done by the force on the particle is

If 3 hat i + 6 hat j + 2 hat k , hat i - 2 hat j + 3 hat k and 5 hat i + 2 hat j + m hat k are coplanar.