Question

An 8-kg block is suspended from a spring having a stiffness $k = 80 \text{ N/m}$. The block is given an upward velocity of 0.4 m/s when it is 90 mm above its equilibrium position. Assume that positive displacement is downward Part A Determine the equation which describes the motion of the block measured from the equilibrium position Express your answer in terms of the variable $t$. Enter the coefficients in meters to three significant figures

          An 8-kg block is suspended from a spring having a stiffness $k = 80 \text{ N/m}$. The block is given an upward velocity of 0.4 m/s when it is 90 mm above its equilibrium position. Assume that positive displacement is downward
Part A
Determine the equation which describes the motion of the block measured from the equilibrium position
Express your answer in terms of the variable $t$. Enter the coefficients in meters to three significant figures
        
Show more…
An 8-kg block is suspended from a spring having a stiffness k = 80  N/m. The block is given an upward velocity of 0.4 m/s when it is 90 mm above its equilibrium position. Assume that positive displacement is downward
Part A
Determine the equation which describes the motion of the block measured from the equilibrium position
Express your answer in terms of the variable t. Enter the coefficients in meters to three significant figures

Added by Tracy M.

Close

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
An 8kg block is suspended from a spring having stiffness A=80N/m. The block is given an upward velocity of 0.4 m/s when it is 90 mm above its equilibrium position. Assume that positive displacement is downward. Determine the equation which describes the motion of the block measured from the equilibrium position. Express your answer in terms of the variable t. Enter the coefficients in meters to three significant figures.
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Ivan Kochetkov
Danielle Fairburn verified

Eric Mockensturm and 86 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
an-8-mathrmkg-block-is-suspended-from-a-spring-having-a-stiffness-k80-mathrmn-mathrmm-if-the-block-i

An $8-\mathrm{kg}$ block is suspended from a spring having a stiffness $k=80 \mathrm{N} / \mathrm{m} .$ If the block is given an upward velocity of $0.4 \mathrm{m} / \mathrm{s}$ when it is $90 \mathrm{mm}$ above its equilibrium position, determine the equation which describes the motion and the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward.

Engineering Mechanics: Statics and Dynamics

an-8-kg-block-is-suspended-from-a-spring-having-a-stiffness-k-80-nm-if-the-block-is-given-an-upward-velocity-of-04-ms-when-it-is-90-mm-above-its-equilibrium-position-determine-the-equation-w-78782

An 8-kg block is suspended from a spring having a stiffness k = 80 N/m. If the block is given an upward velocity of 0.4 m/s when it is 90 mm above its equilibrium position, determine the equation which describes the motion and the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward.

Timothy J.

a-4-mathrmkg-block-is-suspended-from-a-spring-that-has-a-stiffness-of-k600-mathrmn-mathrmm-the-blo-2

A $4-\mathrm{kg}$ block is suspended from a spring that has a stiffness of $k=600 \mathrm{N} / \mathrm{m} .$ The block is drawn downward $50 \mathrm{mm}$ from the equilibrium position and released from rest when $t=0 .$ If the support moves with an impressed displacement of $\delta=(10 \sin 4 t) \mathrm{mm},$ where $t$ is in seconds, determine the equation that describes the vertical motion of the block. Assume positive displacement is downward.

Engineering Mechanics: Statics and Dynamics


*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,421 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,914 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,810 solutions

*

Transcript

-
00:01 So we're told we have an 8 kilogram block suspended from a spring that has a stiffness of 80 newtons per meter.
00:11 We're told that it's given an upward velocity of 0 .4 meters per second and since i'm going to measure a wide positive down, i have a negative sign here and also it's given an upward displacement of 90 millimeters.
00:27 So again we have minus here minus 0 .09 meters.
00:32 We can figure out the natural frequency directly from these two things, and this just winds up being the square of ten.
00:40 We can then write our equation, the equation that describes the motion in either this form or this form.
00:54 Again, it's a little, you've got to be careful when you're using this form about when you take the inverse tangent to keep, make sure you get the right angle here...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever