Question

The natural angular frequency of a particle of mass 'm' attached to an ideal spring of force constant 'K' is

• A. $\sqrt{\frac{K}{m}}$
• B. $\sqrt{\frac{m}{K}}$
• C. ${\left(\frac{K}{m}\right)}^2$
• D. ${\left(\frac{m}{K}\right)}^2$

Answer 1

The correct option is A $\sqrt{\frac{K}{m}}$

Suppose you displace the particle by a distance ${}^{\prime }{x}^{\prime }$

The spring now exerts a force,

This provides nccenary force for $SHM$

$\Rightarrow F=mw{e}^{2}x=k2$ ($w:$ natural angular frequency )

$\Rightarrow w=\sqrt{K/m}$