Forced Mass on Spring: Amplitude of Vibration Calculation

  • Thread starter Thread starter hattonphilip
  • Start date Start date
  • Tags Tags
    Mass Spring
AI Thread Summary
The discussion revolves around calculating the amplitude of vibration for a mass-spring system subjected to forced vibrations. A 2kg mass on a spring with a spring constant of 3.92 x 10^3 Nm^-1 has a natural frequency of 44.3 s^-1. The system is forced to vibrate with an alternating force of amplitude 2 cos(wt) Newtons at a frequency of w = 20 s^-1. Participants share useful resources and equations to aid in solving the problem. The focus remains on determining the amplitude of vibration under the given conditions.
hattonphilip
Messages
2
Reaction score
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
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:
thankyou very much, i have been searching for ages to find a page as useful as that
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Mass atop four springs with external input: Reduce vibration amplitude by factor of ten
Replies
3
Views
867
Difference between maximizing amplitude by choosing omega_0 given omega_d versus choosing omega_d given omega_0.
Replies
4
Views
875
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
2K
Difference between resonance in undamped vs damped mass-spring-dashpot
Replies
17
Views
2K
When Do Sand Particles Slip Off a Vibrating Plate?
Replies
13
Views
1K
Shm , calculation of amplitude of spring mass system
Replies
3
Views
2K
Damped harmonic motion
Replies
3
Views
651
Mass-spring question (frequency and amplitude)
Replies
4
Views
3K
Does amplitude depend on mass in SHM?
Replies
1
Views
8K
Spring SHM Homework: Solving for Displacement of a Suspended Point Mass
Replies
26
Views
3K

Hot Threads

Recent Insights

Back
Top