Which one of the following equations of motion represents simple harmonic motion? where k, k0, k1 and a are all positive.

Question

Which one of the following equations of motion represents simple harmonic motion? where k, k0, k1 and a are all positive. (A) Acceleration = - k (x + a) (B) Acceleration = k (x + a ) (C) Acceleration = kx (D) Acceleration = - k0 x + k1 x2

Tardigrade Admin · Accepted Answer

equation of S.H.M a =-(d2 x/d t2)=-w2 x w =√(k/m) where in, x=A sin (w t+δ) a=-k x where, x=x+a a=-k(x+a)

Q. Which one of the following equations of motion represents simple harmonic motion?
where $k, k_{0}, k_{1}$ and $a$ are all positive.

Acceleration $= - k (x + a)$

Acceleration $= k (x + a)$

Acceleration $= k x$

Acceleration = - $k_{0} x + k_{1} x^{2}$

equation of S.H.M
$a = - \frac{d ^{2} x}{d t ^{2}} = - w^{2} x$
$w = \frac{k}{m}$
where in,
$x = A sin (wt + δ)$
$a = - k x$
where, $x = x + a$
$a = - k (x + a)$

Q. Which one of the following equations of motion represents simple harmonic motion? where k,k0​,k1​ and a are all positive.

Acceleration =−k(x+a)

Acceleration =k(x+a)

Acceleration =kx

Acceleration = - k0​x+k1​x2