If x- v and a denote the displacement- the velocity and the acceleration of a particle executing simple harmonic motion of time period T- then- which of the following does not change with time-mathrm-a-2-mathrm-T-2-4pi-2-v-2-dfrac-mathrm-a-mathrm-T-mathrm-x-mathrm-a-mathrm-T-2 pi vdfrac-mathrm-a-mathrm-T-mathrm-v-

Question

Toppr Admin · Accepted Answer

ATx-x3C9-2xTx-4-x3C0-2T2T-4-x3C0-2T-constant

If $x$ , $v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then, which of the following does not change with time?
$a^{2} T^{2} + 4 π^{2} v^{2}$
$\frac{a T}{x}$
$a T + 2 π v$
$\frac{a T}{v}$

$\frac{a T}{x} = \frac{ω^{2} x T}{x} = \frac{4 π^{2}}{T^{2}} T = \frac{4 π^{2}}{T} = c o n s t a n t$

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?a2T2+4π2v2aTxaT+2πvaTv

aTx=ω2xTx=4π2T2T=4π2T=constant

If $x$ , $v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then, which of the following does not change with time?
$a^{2} T^{2} + 4 π^{2} v^{2}$
$\frac{a T}{x}$
$a T + 2 π v$
$\frac{a T}{v}$

$\frac{a T}{x} = \frac{ω^{2} x T}{x} = \frac{4 π^{2}}{T^{2}} T = \frac{4 π^{2}}{T} = c o n s t a n t$