How Do You Calculate Oscillation Frequency for a Mass with Two Springs?

AI Thread Summary
To calculate the oscillation frequency of an 8.3 kg mass attached to two springs with constants of 28 N/m and 62 N/m, the combined spring constant must be determined. The effective spring constant is found by using the formula for springs in parallel, which is the sum of the individual spring constants. The frequency of oscillation can then be calculated using the formula (1/(2π)) * sqrt(k/m). The initial calculation of approximately 0.322 Hz is incorrect due to not considering the correct method for combining the spring constants. Understanding the forces exerted by each spring when the mass is displaced is crucial for accurate calculations.
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Homework Statement



A 8.3 kg mass slides on a frictionless surface
and is attached to two springs with spring
constants 28 N/m and 62 N/m that are on either side of the mass.


Find the frequency of oscillation. Answer
in units of Hz.

Homework Equations



(2pi sqrt(m/k))^-1

The Attempt at a Solution


subtract the constants from each other to find the coonstant of the system. use this in the equation above. I got about .322Hz is this right?
 
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You need to rethink the combined effect of the two springs. At equilibrium, each spring is pulling the mass with the same amount of force. What happens to each of those forces when the mass is moved to one side?
 

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