contestada

A particle of mass m moves with a constant speed v along the dashed line y =
a. when the x-coordinate of the particle is x0, the magnitude of the angular momentum of the particle with respect to the origin of the system is

Respuesta :

Angular momentum of a particle moving along a straight line is given by formula

[tex]L = \vec r \times m\vec v[/tex]

now here particle is moving along a straight line with speed v along x direction

so here we can say

[tex]\vec P = mv \hat i[/tex]

now we can say

[tex]\vec L = mvr sin\theta[/tex]

here we know that

[tex]r sin\theta = a[/tex]

so angular momentum will be

[tex]L = mva[/tex]

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