Question

A particle moves with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin

(a) is zero
(b) remains constant
(c) goes on increasing
(d) goes on decreasing

Answer 1

Answer ⇒ Option (b). 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 (b).

Hope it helps.

Answer 2

b)Remains constant

Explanation:

Since L= mvr

r is the perpendicular distance of the line of action w.r.t origin.

This will remain constant so angular momentum will also remain constant