Doofy Spring constant problem problem

In summary, the question involves finding the value of the spring constant k for a toy mechanism that drives a component with a period of 0.50 seconds and a mass of 10g. The equation for simple harmonic motion is used to solve this problem, with the time period being equal to 2pi divided by the square root of k/m. The formula for simple harmonic motion is also provided as x=Asin\omega t, where \omega represents the square root of k/m.
  • #1
Supaiku
32
0
A toy make requires a spring mechanism to drive an attached component with a period of .50s. If the mass is 10g what must thevalue of hte psring constant k be?

I can't figure out how the heckle you are supposed to solve for this without the distance. Is it me or the question, if it's me; how bout' some equations.
 
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  • #2
  • #3
Thanks! but uh... where's that from? I can't figure it out :(

EDIT: nvm, Thanks again:D
 
Last edited:
  • #4
The equation for Simple harmonic motion (derived from the equation [tex] F= -kx[/tex] ) is

[tex]x=Asin\omega t[/tex]

where

[tex]\omega = \sqrt\frac{k}{m}
[/tex]
From this, the time period of motion is [tex]\frac{2\pi}{\omega}[/tex]

So, you can derive that formula.
 

Related to Doofy Spring constant problem problem

1. What is the Doofy Spring Constant Problem?

The Doofy Spring Constant Problem is a hypothetical scenario used in physics to demonstrate the application of Hooke's Law. It involves a mass attached to a spring that is oscillating up and down, and the goal is to calculate the spring constant of the spring.

2. How do you calculate the spring constant in the Doofy Spring Constant Problem?

To calculate the spring constant in the Doofy Spring Constant Problem, you need to measure the mass of the object attached to the spring, as well as its displacement from equilibrium. Then, you can use the formula k = mg/x, where k is the spring constant, m is the mass, and x is the displacement.

3. What is Hooke's Law and how does it relate to the Doofy Spring Constant Problem?

Hooke's Law is a physical law that states the force exerted by a spring is directly proportional to its displacement from equilibrium. In the Doofy Spring Constant Problem, Hooke's Law is used to calculate the spring constant based on the mass and displacement of the object attached to the spring.

4. What are some real-life applications of the Doofy Spring Constant Problem?

The Doofy Spring Constant Problem is a simplified version of many real-life situations, such as calculating the spring constant of a car suspension system or a diving board. It can also be used in the design and testing of various mechanical devices, such as shock absorbers and springs in mattresses.

5. Are there any limitations or assumptions in the Doofy Spring Constant Problem?

Yes, there are a few limitations and assumptions in the Doofy Spring Constant Problem. For instance, it assumes that the spring is ideal, meaning it has no mass, and there is no energy loss due to friction or air resistance. Additionally, it assumes that Hooke's Law is applicable in all cases, which may not be true for very large or small displacements.

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