Experiment with a spiral spring (Oscillation)
1. To show how the time of vertical oscillation depends on the load 2. To determine the spring constant
3. To determine the effective mass of the spring
In this experiment, it is to show how the time of vertical oscillation depends on the load,
to determine the spring constant and to determine the effective mass of the spring. An ideal spring is remarkable in the sense that it is a system where the generated force is linearly dependent on how far it is stretched. This behaviour is described by Hooke's law. Hooke’s Law states that to extend a string by an amount x from its previous position, one needs a force F which is determined by F = kx. Here k is the spring constant which is a quality particular to each spring. Therefore in order to verify Hooke’s Law, you must verify that the force F and the distance the spring is stretched are proportional to each other (that just means linearly dependant on each other), and that the constant of proportionality is k) (Ahmad, Z etc, 2007).
In this experiment a spring is suspended vertically from a clamp attached to the stand. At
the bottom end (which is the free end) of the spring a load of mass, m is suspended. So the force acting on the spring is the weight of the load which acts vertically downward and the spring gets extended. Due to the elastic property of the spring, it tries to regain its initial size, hence applies a counter force on the load, which is called the restoring force of the spring (Ahmad, Z etc, 2007).
When a mass is suspended from a spring and the system is allowed to reach equilibrium,
Newton's Second Law tells us that the magnitude of the spring force equals the weight of the body. Therefore, if we know the mass of a body at equilibrium, we can determine the spring force acting on the body (Ahmad, Z etc, 2007).
Spiral spring, stands and clamps, slotted masses and hanger, stopwatch.
1. The spring was suspended from a firm support of two wooden blocks which was clamped by the retort stand’s clamps.
2. 50g of slotted mass was attached to the free lower end of the spring.
3. The spring was pulled down vertically 2cm from it’s original position after the 50g slotted mass was attached and it was let go to execute 20 complete vertical oscillations.
4. The time taken by the suspended load to execute 20 complete vertical oscillations was measured and recorded.
5. The timing for two times was repeated and recorded to get the mean time of the complete vertical oscillations.
6. The load of 50g was increased one by one and was repeated for 20 complete vertical oscillations for each increase of load until a maximum load of 250g (five different loads : 50g, 100g, 150g, 200g, 250g).
7. All the readings was recorded and tabulated in the table below
Time for 20
15.87 18.62 16.41 0.82
18.21 18.54 18.46 0.92
21.43 21.60 21.62 1.08
24.74 24.43 24.57 1.23
27.24 27.54 27.66 1.38
Gradient = 1.90−0.85
= 7 s²/kg
T2= 4π2/k (m+mo)
7 = 4π2/k
k = 5.640 s²/kg
mo = yintercept
= 0.1657 kg
Time for 1 oscillation T²/s²
A law which is used to determine the elastic properties of a body is established by Robert Hooke, an ...
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