In this problem, we are applying the concepts of simple harmonic.

This is a laboratory report question. The most important is the concept to solve the problem, not the answers.

Periodic time:

$\overline{){\mathbf{T}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi}}\sqrt{\frac{\mathbf{m}}{\mathbf{k}}}}$

1. Describe initial observations about any differences in motion as mass and amplitude changed?

Create a plot of the period vs. mass (exclude the steel bolt). Comment on the general shape of your plot and relate this shape to the equation describing SHM:

2. Use your data to calculate the spring constant, *k*, of the spring.

Hint: What variables do you need to plot in order to produce a *linear* graph in order to calculate *k*?

K=F/(x-x_{0})

3. Use the calculated value of *k* and your data from Part 1: Changing Mass to calculate the mass of the steel bolt.

The steel bolt T= 0.409 s

4. Calculate the maximum speed of the masses and steel bolt during the oscillation?

Mass of 50 g =

Mass of 100 g =

Mass of steel bolt =

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Simple Harmonic Motion of Vertical Springs concept. You can view video lessons to learn Simple Harmonic Motion of Vertical Springs. Or if you need more Simple Harmonic Motion of Vertical Springs practice, you can also practice Simple Harmonic Motion of Vertical Springs practice problems.