Question

A particle is moving with a constant velocity along a line parallel to positive X-axis. The
magnitude of its angular momentum with respect to the origin is
a) zero
b) increasing with x
c) decreasing with x d) remaining constant​

Answer 1

Explanation:

Answer ⇒ Option (d). Remains Constant.

Explanation ⇒ According to the question, the particle moves with a constant velocity along a straight line, therefore the distance of the line from the origin will remains constant.

Thus, The linear momentum of the particle which will given by the expression, m × v is constant.

∴ The angular momentum of the particle about the origin will be equals to = moment of the linear momentum about origin.

= Momentum × Distance of line from the Origin.

= p × r

= m × v × r

= constant.

Hence, the answer is option (d).

Hope it helps.