## MHS Strength

**1. **What is the force exerted on a 0.3m-mass, 0.5kg-mass spring oscillator having a period of 3 seconds at the moment when its elongation is maximum?

*Using the equation:*

*Remembering that:*

*And that, at the moment where the elongation is maximum:*

x = A

*We can write the force equation:*

**2. **What is the frequency of an oscillator that has a pulsation ω = π?

*Using:*

*We will find that the period of the movement is:*

*Knowing that the frequency equals the inverse of the period:*

## Spring Mass Oscillator

**1. **What should be the elastic constant of a spring so that, when placed on a horizontal spring-mass oscillator, considering the maximum allowable force equal to 100N, it can support a movement of a mass of 2kg in an amplitude of 1m?

*Using the force equation, remembering that for spring mass ocilators the constant k equals the spring elastic constant we have:*

*For this case we will use the values of maximum elongation (amplitude) and highest allowable force (remembering that this will be restorative, therefore negative), thus:*

## Simple pendulum

**1. **What is the period and frequency of a single pendulum, which is 0.25m long? Consider g = 10m / s².

*Using the equation:*

*Overriding the given values:*

*Knowing that the frequency equals the inverse of the period:*