Motion of an object attached to a spring

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Homework Help Overview

The discussion revolves around the motion of a mass-spring system, specifically analyzing the behavior of a 5.0 kg mass suspended by a spring that stretches 10 cm. The mass is further displaced and released, prompting questions about its position as a function of time.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the mass, spring constant, and angular frequency. There is an attempt to derive the angular frequency from the spring constant and mass, and questions arise regarding the calculation of force and acceleration.

Discussion Status

Some participants have provided equations relevant to the problem, such as Hooke's Law and the formula for angular frequency. There is an ongoing exploration of how to derive the spring constant and subsequently the angular frequency, indicating a productive direction in the discussion.

Contextual Notes

Participants note that the force due to the weight of the body is relevant for determining the spring constant, and there is a lack of explicit information regarding acceleration, which is being questioned.

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Homework Statement


A body of mass 5.0 kg is suspended by a spring which stretches 10 cm when the mass is attached. It is then displaced downward an additional 5.0 cm and released. Its position as a function of time is approximately?


Homework Equations


X(t) = Acos(wt+φ)


3. The Attempt at a Solution
the awnser to this problem is 0.05cos10t. I see where they get the 0.05 from since it is the amplitude but how do they figure out w(angular frequency)=10
 
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w = sqrt (k/m)

F = -kx

Now you have the equations you need
 
how do i figure out F acceleration is not given
 
F = -kx

is Hooke's Law.

The force comes from the weight of the body. And x is the extension of a spring.


Use this to find k.

Then apply the other formula to find w.
 

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