A mass attached to 2 identical springs (please HELP)

In summary, the conversation discusses a scenario where a 0.020 kg cart is held by two stretched springs and then released to vibrate. The force constant for the springs/cart system is being asked for, as well as the frequency of vibration and the maximum energy of the cart. However, the person asking for help is unsure of how to approach the problem and is looking for a step-by-step solution.
  • #1
crosbykins
53
0

Homework Statement



A 0.020 kg cart is held between two identical, stretched springs. A force of 2.0 N is employed to hold the cart in a position 0.10m from equilibrium. The cart is then released and allowed to vibrate from the 0.10 position.

a) What is the force constant for the springs/cart system?
b) What is the frequency of vibration?
c) What is the maximum energy of the cart? Where does it occur and what is the speed?


Homework Equations



...I really don't know

The Attempt at a Solution


...I really have no idea...a step-by-step solution would be greatly appreciated
 
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  • #2
You must make an attempt of some kind before help can be given. Why don't you outline your thoughts for part a?
 

1. How does the mass affect the oscillation of the springs?

The mass attached to the springs will affect the period of oscillation, making it longer or shorter depending on the mass. A larger mass will result in a longer period of oscillation, while a smaller mass will result in a shorter period.

2. What is the relationship between the spring constant and the oscillation of the springs?

The spring constant, also known as the stiffness of the spring, will affect the frequency of oscillation. A higher spring constant will result in a higher frequency, while a lower spring constant will result in a lower frequency.

3. What happens to the amplitude of the oscillation when the mass is changed?

The amplitude, or the maximum displacement of the mass from its equilibrium position, will also be affected by the change in mass. A larger mass will result in a smaller amplitude, while a smaller mass will result in a larger amplitude.

4. How do the two springs work together to hold the mass?

The two springs work together to hold the mass by exerting equal and opposite forces on the mass. This allows the mass to oscillate back and forth between the two springs while maintaining equilibrium.

5. Can the mass and springs system be used to calculate other physical properties?

Yes, the mass and springs system can be used to calculate other physical properties such as the potential energy and kinetic energy of the system, as well as the forces acting on the mass. These calculations can provide valuable insights into the behavior of the system.

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