A particle of mass 1 kg is undergoing S.H.M, for which graph between force and displacement (from mean position) is shown. Its time period, in seconds, is:

Question

A particle of mass 1 kg is undergoing S.H.M, for which graph between force and displacement (from mean position) is shown. Its time period, in seconds, is: <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/7b69e3360f90df7247deb9dba096c6b0-.png" /> (A) π / 3 (B) 2 π / 3 (C) π / 6 (D) 3 / π

Tardigrade Admin · Accepted Answer

F = - m ω2 x so ω2=(13.5/1.5)=9 ⇒ ω=3 T =(2 π/3)

Q. A particle of mass $1 k g$ is undergoing $S . H . M$ , for which graph between force and displacement (from mean position) is shown. Its time period, in seconds, is:

$π /3$

$2 π /3$

$π /6$

$3/ π$

$F = - m ω^{2} x$
so $ω^{2} = \frac{13.5}{1.5} = 9$
$\Rightarrow ω = 3$
$T = \frac{2 π}{3}$

Q. A particle of mass 1kg is undergoing S.H.M, for which graph between force and displacement (from mean position) is shown. Its time period, in seconds, is:

π/3

2π/3

π/6

3/π