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 C is correct that is goes on increasing ✔✔✔

Answer 2

(b) Remains constant

The angular momentum with respect to the origin when a particle moves with a constant velocity parallel to the X-axis Remains constant.

Explanation:

• The particle moves with a constant velocity along a straight line according to the question, therefore the distance between the line and the origin will remain constant.
• Therefore, the particle's linear momentum, which is given by the expression, m × v is constant.
• The particle angular momentum about the origin will be equal to = moment of linear momentum over the origin.

= Distance of line from the Origin × angular momentum  

= p × r   -------> (1)

Momentum (p) is defined as the product of mass (m) and velocity (v)

                                            p = m ×  v

Substitute the p = m × v in equation (1)

= m × v × r  

= constant

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