Experiment 1- Simple Harmonic Oscillation

Question 1

What is Hooke’s Law?

Answer 1

It is defined by F= -kx; it is proportional to the displacement form the equilibrium position.

Question 2

What will be done in this experiment?

Answer 2

There will be masses on the spring. As a result, the total force: F total= mg-kx. There will be a plot of mg versus x that will have a slope of k, the spring constant.

Question 3

What is the equation for the x position of the x position?

Answer 3

X(t)= x0cos(omegaT), x0 is the initial position and omega is 2pif=(km)^1/2

Question 4

What is the PERIOD, T, for the masss hanging on a spring?

Answer 4

T= 2pif(m/k)^1/2.

Question 5

What is the relationship between the period and the K constant?

Answer 5

Inverse.

Question 6

What will the plot of T vs. m look like?

Answer 6

A square root curve going through the origin with parameter of A=2pi/(k)^1/2.

Question 7

What is the period of the system of a spring with an attached mass?

Answer 7

T= 2Pi(m+M/3/l)^1/2, where M/3 is the mass of the attached object. Also, the A will be 2Pi/(k)^1/2 and B=M/3.