SHM Theory:

SHM
Theory:

The k is for the spring to measure the ratio of change in length for a given force. It holds the spring with the linear portion of Stress/Stain curve.
The equation:
F = -kx
The spring periodicity:
T=2π √(m/k)
When k can be shown by mass and time of an oscillating spring the system will be known. According to Hooke’s Law the inverse slope of the F/x graph is k where F is the independent variable.
T=2π √(L/g)
Procedure:
For 5 masses measure F and x we insert them in a chart in excel and for each five masses, time twenty oscillations to find the period T. Then we graph the m vs T squared to find the slope and then calculated the k from the slope. We pulled down the spring and counted twenty with the timer. We got a number and dived it by twenty to get the final result. After the first time we added one gram to the spring then five, then ten and final try we did fifteen adding the five and ten together. For the Pendulum we measured the angle and did it five times swinging it. After each time we change the different angle. We count 20 times when it swinging’s and stop the timer to see the time. Also we change the degree when letting go the Pendulum.

Data for the spring:
spring x(m) F (N)
1 0.045 0.503
2 0.046 0.513
3 0.049 0.552
4 0.051 0.601
5 0.054 0.65
k = 15.06

Data for pendulum:
Pendulum Length (m) g Length degree (128 cm) T
1 0.1 9.35 10 2.257
2 0.92 9.07 20 2.25
3 0.86 9.67 30 2.275
4 0.8 9.7 40 2.326
5 0.74 9.671 50 2.335