Purchase Solution

Vertical Mass-and-Spring Oscillator

Not what you're looking for?

Ask Custom Question

A block of mass is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance from its equilibrium length. The spring has an unknown spring constant.

A. What is the spring constant?
B. Suppose that the block gets bumped and undergoes a small vertical displacement. Find the resulting angular frequency of the block's oscillation about its equilibrium position.

Attachments
Purchase this Solution
Solution Summary

This solution provides needed formulas in the original document. This is attached as a Word document.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • Harmonic Oscillator Equations

    74051 Harmonic Oscillator Equations (See attached file for full problem description) --- A block of mass is attached to a spring whose spring constant is .

  • Solving Harmonic Oscillator Problems

    A block of mass m is attached to a spring whose spring constant is k. The other end of the spring is fixed so that when the spring is unstretched, the mass is located at x=0. Assume that the +x direction is to the right.

  • Oscillators and Classical Spring Concepts

    Each spring has force constant k and unstretched length lo, and the length of each spring when the mass is at its equilibrium at the origin is a.

  • Harmonic oscillators

    |---spring---{mass}--spring----| neglecting friction and gravity, if the mass is displaced horizontally. would it oscillate forever? if not how can u get the maximum amplitude of oscillation for a given period of time before it dies down.

  • A system of two springs in series and parallel.

    Write down the force each spring exerts (take their displacement from equilibrium lengths as x1 and x2)and equate them.

  • Spring Compression and Automobile Suspension Systems

    It is reasonable to use a harmonic oscillator to model the up-and-down motion, where y(t) measures the amount the springs are stretched or compressed and v(t) is the vertical velocity of the bouncing car.

  • Mass-spring system, pendulum, oscillator frequency, sound pulses, harmonics

    If the third harmonic is 600 Hz, fundamental frequency = 600/3 = 200 Hz A mass-spring system, pendulum, oscillator frequency, sound pulses and harmonics is examined.

  • Modern physics: photon energies, wavelengths, oscillators, etc.

    (1) In a simple harmonic oscillator, the angular frequency of the oscillator is given as a function of the spring constant k and the mass m: (1.1) Thus: (1.2) Since where f is the linear frequency, we get: (1.3) In our case:

  • Harmonic Oscillator Kinematics

    29856 Harmonic Oscillator Kinematics One end of a spring with spring constant k is attached to the wall. The other end is attached to a block of mass m. The block rests on a frictionless horizontal surface.

View More Related Solutions