Which one of the following represents simple harmonic motion ?
$x^{2} = a + b v$
$x = \sqrt{a + b v^{2}}$
$x = a - b v$
$x = \sqrt{a - b v^{2}}$

Question

Which one of the following represents simple harmonic motion -x-2-a-bvx-sqrt-a-bv-2-x-a-bvx-sqrt-a-bv-2-

Toppr Admin · Accepted Answer

Relation -d- which is x-x221A-a-x2212-bv2 correclty represents the SHM because - velocityv-x3C9-x221A-a2-x2212-x2or-xA0- x-x221A-a2-x2212-v2-x3C9-2or-xA0- x-x221A-a2-x2212-bv2where - b-1-x3C9-2

Which one of the following represents simple harmonic motion ?x2=a+bvx=√a+bv2x=a−bvx=√a−bv2

Relation (d) which is x=√a−bv2 correclty represents the SHM because , velocityv=ω√a2−x2or x=√a2−v2/ω2or x=√a2−bv2where , b=1ω2

Which one of the following represents simple harmonic motion ?
$x^{2} = a + b v$
$x = \sqrt{a + b v^{2}}$
$x = a - b v$
$x = \sqrt{a - b v^{2}}$

Relation (d) which is $x = \sqrt{a - b v^{2}}$ correclty represents the SHM because , velocity
$v = ω \sqrt{a^{2} - x^{2}}$
or $x = \sqrt{a^{2} - v^{2} / ω^{2}}$
or $x = \sqrt{a^{2} - b v^{2}}$
where , $b = \frac{1}{ω^{2}}$