Vibration Platform: Find Frequency for Rock Clatter

  • Thread starter Thread starter gonzalo12345
  • Start date Start date
  • Tags Tags
    Vibration
AI Thread Summary
To determine the frequency at which a rock begins to clatter on a vibration platform, one must analyze the maximum acceleration of the platform, which is influenced by its oscillation frequency. The rock will lose contact with the platform when the downward acceleration exceeds the gravitational pull on the rock. The problem is akin to roller-coaster dynamics, where the acceleration must be calculated based on the platform's amplitude and frequency. Understanding these relationships will help solve for the critical frequency needed for the rock to start clattering. This approach combines principles of oscillation and gravitational forces.
gonzalo12345
Messages
26
Reaction score
0

Homework Statement



A vibration platform oscillates up and down with an amplitude of 10.4 cm at a controlled variable frequency. Suppose a small rock of unknown mass is placed on the platform. At what frequency will the rock just begin to leave the surface so that it starts to clatter?

Homework Equations



I need to know how to start this problem and what equations to use

The Attempt at a Solution

 
Physics news on Phys.org
gonzalo12345 said:
A vibration platform oscillates up and down with an amplitude of 10.4 cm at a controlled variable frequency. Suppose a small rock of unknown mass is placed on the platform. At what frequency will the rock just begin to leave the surface so that it starts to clatter?

Hi gonzalo12345! :smile:

This is like a roller-coaster problem … the rock will lose contact when the platform is accelerating downward so fast that the rock cannot fall fast enough to keep up!

So work out the maximum acceleration of the platform (it will depend on frequency, obviously). :smile:
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged 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...
View full post »

Similar threads

What Frequency Causes a Rock to Lift Off a Vibrating Platform?
Replies
2
Views
4K
Difference between maximizing amplitude by choosing omega_0 given omega_d versus choosing omega_d given omega_0.
Replies
4
Views
846
Mass atop four springs with external input: Reduce vibration amplitude by factor of ten
Replies
3
Views
809
Simple harmonic motion platform
Replies
2
Views
5K
Solving the Platform and Object Kinetic Energy Equation
Replies
8
Views
2K
Unfingered Guitar String Vibration Frequency: 627 Hz
Replies
3
Views
1K
Get vibration frequency form absorption spectra line
Replies
2
Views
1K
Finding the total momentum of system
Replies
8
Views
3K
Simple Harmonic Motion and frequency
Replies
3
Views
2K
Difference between resonance in undamped vs damped mass-spring-dashpot
Replies
17
Views
2K

Hot Threads

Recent Insights

Back
Top