Simple Harmonic Motion of Vertical Springs Video Lessons

Video Thumbnail

Concept

Problem: The two graphs in (Figure 1) are for two different vertical mass/spring systems.Part AWhat is the frequency of system A?Express your answer using two significant figures.Part BWhat is the first time at which the mass of system A has maximum speed while traveling in the upward direction?Express your answer using two significant figures.Part CWhat is the period of system B?Express your answer using two significant figures.Part DWhat is the first time at which the mechanical energy of system B is all potential?Express your answer using two significant figures.Part EIf both systems have the same mass, what is the ratio kA/kB of their spring constants?Express your answer using two significant figures.

FREE Expert Solution

Frequency:

f=1T

The time period of the mass of a spring system is expressed as:

T=2πmk

Part A

TA = 4 s

fA = 1/4 = 0.25 Hz

The frequency of system A is 0.25 Hz.

86% (30 ratings)
View Complete Written Solution
Problem Details

The two graphs in (Figure 1) are for two different vertical mass/spring systems.



Part A

What is the frequency of system A?

Express your answer using two significant figures.

Part B

What is the first time at which the mass of system A has maximum speed while traveling in the upward direction?

Express your answer using two significant figures.

Part C

What is the period of system B?

Express your answer using two significant figures.

Part D

What is the first time at which the mechanical energy of system B is all potential?

Express your answer using two significant figures.

Part E

If both systems have the same mass, what is the ratio kA/kB of their spring constants?

Express your answer using two significant figures.

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.