Forced Mass on Spring: Amplitude of Vibration Calculation

  • Thread starter hattonphilip
  • Start date
  • Tags
    Mass Spring
In summary, the conversation discusses a problem involving a mass of 2kg hung on a spring of spring constant 3.92 x 103 Nm-1 and a forced vibration with an amplitude of 2 cos (wt) Newtons. The question asks for the amplitude of vibration when w = 20 s-1. The suggested links provide relevant equations and resources for solving the problem.
  • #1
hattonphilip
2
0

Homework Statement



A mass of 2kg is hung on a spring of spring constant 3.92 x 103 Nm-1. The natural frequency for the system is wo = 44.3 s-1. The system is forced to vibrate by an alternating force of amplitude
F = 2 cos (wt) Newtons.
What is the amplitude of vibration when w = 20 s-1



Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
You should find this link useful in order to gather up some relevant equations and show an attempt to solve the problem: http://ltcconline.net/greenl/courses/204/appsHigherOrder/forcedVibrations.htm"
 
Last edited by a moderator:
  • #3
thankyou very much, i have been searching for ages to find a page as useful as that
 
  • #4

What is "Forced Mass on Spring"?

"Forced Mass on Spring" refers to a physical system in which a mass is attached to a spring and is subjected to an external force. The mass-spring system is often used to model real-world situations, such as a car suspension or a swinging pendulum.

What factors affect the motion of a "Forced Mass on Spring" system?

The motion of a "Forced Mass on Spring" system is affected by several factors, including the mass of the object, the stiffness of the spring, the amplitude and frequency of the external force, and the initial displacement of the mass from its equilibrium position.

What is the equation for the motion of a "Forced Mass on Spring" system?

The equation for the motion of a "Forced Mass on Spring" system is given by F = -kx - bv + F0sin(ωt), where F is the force on the mass, k is the spring constant, x is the displacement of the mass, b is the damping coefficient, v is the velocity of the mass, F0 is the amplitude of the external force, ω is the angular frequency of the external force, and t is time.

What is the relationship between the mass and the period of a "Forced Mass on Spring" system?

The period of a "Forced Mass on Spring" system is independent of the mass. This means that the mass does not affect the time it takes for the mass-spring system to complete one full cycle of motion.

How does damping affect the motion of a "Forced Mass on Spring" system?

Damping is a force that opposes the motion of the mass and is proportional to its velocity. This means that damping can decrease the amplitude of the mass's motion and eventually bring it to a stop. In the absence of damping, the motion would continue indefinitely.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
376
Replies
13
Views
312
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
6K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
26
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
996
  • Introductory Physics Homework Help
Replies
15
Views
264
  • Introductory Physics Homework Help
Replies
7
Views
6K
Back
Top