Frequency of Undamped, Forced Oscillation with Negligible Damping

  • Thread starter Thread starter K3nt70
  • Start date Start date
  • Tags Tags
    Oscillation
AI Thread Summary
The discussion focuses on calculating the frequency of an undamped, forced oscillation system involving a mass and spring. A mass of 0.133 kg is attached to a spring with a spring constant of 6.80 N/m and is subjected to a driving force with an amplitude of 1.34 N. The goal is to determine the frequency at which the mass vibrates with an amplitude of 0.445 m. The user initially miscalculated the frequency, obtaining 8.63 Hz instead of the correct value in radians per second. Clarification was provided that the solution needed to be expressed in radians per second, guiding the user toward the correct approach.
K3nt70
Messages
82
Reaction score
0
[SOLVED] Undamped, Forced Oscillation

Homework Statement


Damping is negligible for a 0.133 kg mass hanging from a light 6.80 N/m spring. The system is driven by a force oscillating with an amplitude of 1.34 N. At what frequency will the force make the mass vibrate with an amplitude of 0.445 m? There are two possible solutions, enter one of them.

Homework Equations


A=(F/m)/(sqrt(((w^2 - Wo^2)^2) + (bw/m)^2))
wo= sqrt(k/m)

The Attempt at a Solution


i filled in the equation, solved for w and got 8.63 Hz, but its wrong. A point in the right direction would do wonders.Cheers
 
Last edited:
Physics news on Phys.org
Did you get 8.63 Hz or 8.63 rad/sec?
 
the answer was rad/sec. i solved for w but put it in as the frequency. all i needed was a little nudge in the right direction. Thanks for your help!
 
Last edited:
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top