A body is projected from the ground with some angle to the horizontal. What happens to the angular momentum about the initial position in this motion?

When a body is projected from the ground at an angle to the horizontal, its angular momentum about the position of projection changes as it moves through its entire flight. At first, the body has angular momentum, depending on its speed and the distance between the point of projection and its center of mass, respectively. However, as the body continues through its trajectory, gravitational forces are applied. The weight of the body creates a torque about the point of projection, which affects its angular momentum.

As the body rises, the vertical component of its velocity decreases due to gravity, and it eventually reaches its maximum height before descending. During this time, the torque exerted by gravity continuously alters the angular momentum. Since the gravitational force always acts vertically downward through the centre of mass, the distance between line of action of gravitational force and pivot changes due to motion. Therefore, a loss of angular momentum occurs due to rotation at the original axis. All the angular momentum is reduced during this whole course of motion in the projected body due to both gravitational torque as well as displacement of the moving body with the pivot point.

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