Answer to Question #100999 in Mechanics | Relativity for Hansraj

Question

EXPLAIN. WHY L² & ONLY ONE OF COMPONENTS OF. L ARE REGARDED AS CONSTANT OF MOTION.
( (ASKED IN UNIVERSITY EXAM FOR 20 MARKS))

Answer 1

We know that if any object is moving, on any path, then

velocity = $\dfrac{dx}{dt}$

so if any function is given

$y=x^2$

now , taking the differentiation with respect to x,

$\dfrac{dy }{dt}=2x$

now put x= L

so $\dfrac{dy}{dt}=2L$

Hence velocity is directly proportional to L, not to the $L^2$