# Frequency of the oscillation

brunettegurl

## Homework Statement

A spring is hung from the ceiling. When a block is attached to its end, it streches 19.3 cm before reaching its new equilibrim length. The block is then pulled down slightly and released. What is the frequency of the oscillation?

## Homework Equations

f =$$\frac{\omega}{2\pi}$$

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

## The Attempt at a Solution

i have no idea how to start this question and what to make of the mention of the equilibrium length pls. help

Homework Helper
Which two opposite and equal forces act upon the mass when the spring is in its equilibrium position?

brunettegurl
the weight and the normal force but they don't mention any mass in the question

Homework Helper
You don't want to calculate the mass you want to calculate k/m. The restoring force exerted by the spring is equal to the weight. Can you write this down in formulaic form?

brunettegurl
wld it be .5*k*x^2= mg where K/m = 2g/x^2 ??

Homework Helper
That is not Hooke's law. You used the elastic potential energy as a force which is not true because it is an energy. Find the correct expression for the restoring force exerted by the spring.

brunettegurl
oh do u mean F=kx so that wld be kx=mg where k/m = g/x

Homework Helper
Yep.

brunettegurl
thanx i get it now :)