A particle is in a linear SHM. If the acceleration and the corresponding velocity of this particle are ' a ' and ' v ', then the graph relating to these values is :

Question

A particle is in a linear SHM. If the acceleration and the corresponding velocity of this particle are ' a ' and ' v ', then the graph relating to these values is : (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

The equation giving relation between acceleration and speed as function of distance from mean position is

a = - ω^{2} x

........(1)

v = ω a^{2} - x^{2} ..... (2)

from equation (1) and (2) we get

a^{2} = ω^{4} (A^{2} - \frac{v ^{2}}{ω ^{2}})

Q. A particle is in a linear SHM. If the acceleration and the corresponding velocity of this particle are ' a ' and ' v ', then the graph relating to these values is :

The equation giving relation between acceleration and speed as function of distance from mean position is a=−ω2x ........(1) v=ωa2−x2​.....(2) from equation (1) and (2) we get a2=ω4(A2−ω2v2​)

Q. A particle is in a linear SHM. If the acceleration and the corresponding velocity of this particle are ' $a$ ' and ' $v$ ', then the graph relating to these values is :

The equation giving relation between acceleration and speed as function of distance from mean position is
$a = - ω^{2} x$ ........(1)
$v = ω a^{2} - x^{2} ..... (2)$
from equation (1) and (2) we get
$a^{2} = ω^{4} (A^{2} - \frac{v ^{2}}{ω ^{2}})$