Calculus Question

Question

The moment of a particle about  a point varies directly with change in distance of the particle from the given point

Answer 1

The moment of a particle about a point does not simply vary with the "change in distance." The standard definition is that the moment varies directly with the perpendicular distance from the point (or axis).

For a particle, the moment is generally:

M = Fd

where,

1. M - moment
2. F - force (or mass)
3. d = perpendicular distance from the point

So, M ∝ d only if the force remains constant. Therefore, the moment depends on the perpendicular distance itself, not the change in distance.