Question

Increasing the mass attached to a spring will increase the angular frequency of its vibrations. True or False

Answer 1

Answer: False

Explanation:

Using the angular frequency formula derived from Hooke's law we have :

$\omega =\sqrt{\frac{ k }{ m }}$

${\omega}^{ 2 }=\frac {k}{m}$  

where k- is Hooke's constant

           m- is mass attached to a spring

According to the formula the mass is inversely proportional to the square of the angular frequency angular  which means that increasing the mass attached to the spring will decrease the angular frequency.