We know that point is something which has no dimension ( length, breadth etc.) but has existence. As point has no dimension, it has no volume. Moreover, it has no mass.
Density(d) = Mass(m) / Volume(v) m = d * v m = 0 ( since v = 0 )
But we are given problems such as - “ A point mass of 5 kg is moving with velocity …” . Are these problems composed in right manner ? Is it possible for a point to have mass greater than 0 ?
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
in modern approach of geometry(started by hilbert)we actually dont define the fundamental geometric objects such as points or lines.rather we study the inter relationships of these objects(betweenness,on ness).but d=v/m is a physical formulation.you can discuss a classic book the 'foundation of geometry' by david hilbert
When a body undergoes non rotational motion due to the forces action on it, we can consider the body as a point object...In translational motion, all points in the body have same displacement, velocity, and acceleration..(by same i mean they are all equal and in same direction.) So, we model the body to be a point where all the mass is concentrated... On the contrary, in rotational motion, different point in the body have different displacements, velocities, and accelerations.... So, we can't consider the body as a particle...
I
Just study the concept of center of mass and everything will become clear. And oh, yes, point masses have a new notion when you go into the quantum world.