SHM Lab
Theory:
The equation that is given from the k of a spring is
F=-kx
Spring periodicity is given by:
T=2π√(m/k)
Pendulum periodicity is given by:
T=2π√(L/g)
Where;
F is the force, k is the spring constant which we should get, m is the mass, T is the time, L is the length, and g is the gravity.
Procedures:
This lab contains of two different periodicities which are Spring and Pendulum. Firstly, we determined the k of the spring by measuring the change in length for various weights, and recorded the height, the x, and the time 5 times. Then, in the second part, we measured the pendulum height, we chose 5 different angles. After that, we pulled the weight in exactly the angles that we chose, and let the weight go 10 times with recording the times by the stop watch.
Data:
spring x(m) F(N)
1 0.044 0.502
2 0.045 0.512
3 0.047 0.55
4 0.052 0.602
5 0.055 0.66
Pendulum Length (m) Gravity (ms^2) Length Degree (130 cm) T (s)
1 0.11 9.37 10 2.258
2 0.94 9.09 20 2.252
3 0.84 9.65 30 2.273
4 0.82 9.9 40 2.328
5 0.76 9.69 50 2.337
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