**Description**: Interactive free flash animation to simulate an activity to find the relationship between the period ** T** and the mass

Instructions:

**1. Find k and l_{0}:**

Measure the length *l* of the spring for two different values of the mass *m* of the object.

Having put both pairs (*m* ; *l*) in the right equations, calculate the values of the spring constant **k** and of the length *l*_{0} relative to the equilibrium position.

**2. Does the period T of oscillations depend on the mass m of the object?**

For eight different values from the mass of the object, activate oscillations of the system {mass + spring} by taking away the object of its equilibrium position and by releasing it.

- Measure the oscillations period *T* for each value of the mass *m*.

- Calculate *T*^{2} for each value of the period *T*.

- Note the pairs of values (*T*^{2} ; *m*) into an array.

- Plot the curve of *T*^{2} = f(*m*)

**a.** Does the period *T* of oscillations depend on the mass *m* of the object?

**b.** What would be the period of the oscillations of an object with the mass of m = 88 g?

Show the method used by drawing on the graph.

**c.** What is the nature of the given curve?

Determine its gradient expressed in s².kg^{-1}.

**d.** Deduct from it the relationship between ** T^{2}** and

**Definition**:

__Simple pendulum__: Hypothetical pendulum suspended by a massless and frictionless thread of constant length.