Question

show that the angular momentum about any point of a single particle moving with constant velocity remains constant throughout the motion​

Answer 1

Answer:

Step-by-step explanation:

Our aim is to show that angular momentum always remains the same.

Let t be any time, suppose that vector v is at P.

We get momentum:

L = r x p = r x m.v

I L I = r.m.v x sin (theta)

Where theta is the smaller angle between vector r and vector v.

From the figure bellow, r.sin(theta) = OK, and it is the same perpendicular distance of O from the line of motion.

We can see that r.sin(theta) remains constant. Then I L I is constant and also vector L always remains the same in magnitude and direction.

I hope this helps your studies! Keep it up!

Answer 2

Step-by-step explanation:

Hope this will help you