The position vector of a particle of mass 2kg is given as a function of time by r= 6i+5tj.determine the angular momentum of the particle about the origin as a function of time

1 answer

To find the angular momentum of the particle about the origin, we first need to find the velocity vector and then calculate the angular momentum using the formula:

Angular momentum = r x (mv)

Given position vector r = 6i + 5tj, the velocity vector v is the derivative of r with respect to time t:

v = dr/dt = d(6i + 5tj)/dt = 0i + 5j

Now, calculate the angular momentum as a function of time t:

r x (mv) = (6i + 5tj) x (0i + 5j)
= (0*j - 5t*i)k
= -5t*k

Therefore, the angular momentum of the particle about the origin as a function of time is -5t*k.