Sabendo que a oscilação desta mola (quando se solta a esfera da posição B) possui um período de 2,5 s, calcule a frequência das suas oscilações e represente na figura o sentido da força restauradora.

0.4 Hz

Explanation:

For an object in simple harmonic motion, the relationship between frequency and period is:

where:

f is the frequency (the number of complete oscillations per second)

T is the period (the time it takes for the object to complete one oscillation)

In this problem, we have an object with a period of oscillation of

T = 2.5 s

Therefore, the frequency of oscillation is:

Here we also want to know the direction of the restoring force. A simple harmonic motion is a motion in which there is a restoring force proportional to the displacement:

where

k is the spring constant

x is the displacement

We notice in the formula that there is a negative sign: it means that the direction of the force is opposite to the displacement. Therefore, the force  always points towards the equilibrium position of the system.

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement