Little help in mass on a spring

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To determine the period of oscillation for a mass-spring system, use Hooke's law (F = -kx) to find the spring constant (k). The force exerted by the hanging mass can be calculated using F = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.81 m/s²). By equating mg to -kx, you can solve for k. Once k is known, the period of oscillation can be calculated using the formula T = 2π√(m/k). This approach effectively combines the principles of harmonic motion with the characteristics of the spring.
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Homework Statement


a steel spring that it extends by 10cm in equilibrium when you attach the upper end of the spring to a fixed support and hang a weight of 100g at the lower end.

I want to know how to use the equation for the harmonic oscillator to determine the period of the up and down oscillation.


Homework Equations


F = -kx
F = ma

The Attempt at a Solution


I want to use F = ma and F = -kx
so ma = -kx
k = ma/-x
= 0.1*a/-0.1
= -a

but I don't know the a, is the a for 9.81? and maybe I was wrong in the beginning

Thanks a lot
 
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Use Hooke's law (F = -kx) to find the spring constant. What force is exerted on the spring by the hanging mass?
 
so I can use F = mg
=> mg = -kx ?

is that right?
 
Yes, that's how you can find the spring constant.
 
thank you very much! cheers
 

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Thread 'A cylinder connected to a hanging mass'

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