Frequency of Oscillations of Two Joined Springs and Block of Mass 0.245 kg

Click For Summary
SUMMARY

The discussion centers on calculating the frequency of oscillation for a system comprising two springs with a spring constant of k = 6430 N/m, connected in series to a block of mass 0.245 kg. The effective spring constant for springs in series is calculated as k_eff = k/2, resulting in k_eff = 3215 N/m. The frequency of oscillation is determined using the formula f = sqrt(k/m)/(2*pi), yielding a frequency of 18.23 Hz. The correctness of this calculation is confirmed within the context of the discussion.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Knowledge of oscillatory motion and frequency calculations
  • Familiarity with the concept of springs in series and their effective spring constant
  • Basic physics principles related to mass and acceleration
NEXT STEPS
  • Study the derivation of the effective spring constant for springs in series and parallel configurations
  • Learn about the impact of mass on oscillation frequency in mechanical systems
  • Explore the behavior of non-identical springs in series and their frequency calculations
  • Investigate real-world applications of oscillating spring systems in engineering
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding oscillatory systems and spring dynamics.

apchemstudent
Messages
220
Reaction score
0
Two springs with a spring constant of k = 6430 N/m are joined and connected to a block of mass 0.245 kg. The system is then set oscillating over a frictionless surface. What is the frequency of the oscillations?

This is what I think is the correct approach to this question:

since the springs are joined, the new spring now has a spring constant of 6430/2 = 3215 N/m.

So f = sqrt(k/m)/2*pi

= 18.23 Hz.

Is this correct? Thanks.
 
Physics news on Phys.org
apchemstudent said:
Two springs with a spring constant of k = 6430 N/m are joined and connected to a block of mass 0.245 kg. The system is then set oscillating over a frictionless surface. What is the frequency of the oscillations?
This is what I think is the correct approach to this question:
since the springs are joined, the new spring now has a spring constant of 6430/2 = 3215 N/m.
So f = sqrt(k/m)/2*pi
= 18.23 Hz.
Is this correct? Thanks.

Are the springs joined in series, or in parallel?
 
pervect said:
Are the springs joined in series, or in parallel?

they are in series

As well, how would some one solve a problem like this, if the springs were not identical?
 
Last edited:

Similar threads

Replies
17
Views
2K
  • · Replies 27 ·
Replies
27
Views
10K
Replies
1
Views
1K
Replies
5
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
6
Views
986
  • · Replies 11 ·
Replies
11
Views
2K
Replies
24
Views
4K
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K