A particle mass 1 kg is moving along a straight line `y=x+4`. Both x and y are in metres. Velocity of the particle is `2m//s`. Find the magnitude of angular momentum of the particle about origin.

Options

A. `4 kgm^2 s^-2`
B. `2 sqrt(2) kgm^2 s^-1`
C. `4 sqrt(2) kgm^2 s^-1`
D. `2 kgm^2 s^-1`

Answer

B

Explanation

(b) Angular momentum of particle about origin `O` is :
`L = mvr_1 = (1)(2)(2 cos 45^@) =(4)/(sqrt(2)) = 2 sqrt(2) kgm^2 s^-1`
.