Question

Which one of the following represents simple harmonic motion?

• A. $x^{2}=a +bv$
• B. $x=\sqrt{a+ bv^{2}}$
• C. $x=a-bv$
• D. $x=\sqrt{a-bv^{2}}$

Answer 1

Answer: (D)

$x=\sqrt{a-bv^{2}}$

Answer 2

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