How does adding mass to a spring system affect its amplitude?

In summary, the horizontal spring system undergoes SHO on a frictionless surface with a known mass attached. When a second identical mass is dropped on top of the initial, the amplitude of the system remains the same as the potential energy stored at the maximum position does not depend on mass. This has been confirmed by the conversation between the parties.
  • #1
Dr. S
13
0

Homework Statement



You have a horizontal spring system such that it undergoes SHO on a frictionless surface. with a known mass attached at the end of the spring. When that mass reaches its maximum position (amplitude) a second identical mass is dropped on top of the initial, effectively doubling the mass of the system (all other mass shall be considered negligible). What is the amplitude of the new system?

The Attempt at a Solution



The same as before?

When the initial mass is at its amplitude position, it has all its energy stored as potential energy which does not depend on mass. Therefore, adding mass will not affect this potential energy and thus won't affect amplitude.

Is this right?
 
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  • #2
I'd love some help with this one, it's really been bugging me.
 
  • #3
Your argument looks fine, and your conclusion correct.
 

Related to How does adding mass to a spring system affect its amplitude?

1. What is a Conceptual Spring SHO problem?

A Conceptual Spring SHO (Simple Harmonic Oscillator) problem is a physics problem commonly used to test students' understanding of the principles of simple harmonic motion. It involves a mass attached to a spring, and asks questions about the behavior of the system under different conditions.

2. How do you solve a Conceptual Spring SHO problem?

To solve a Conceptual Spring SHO problem, you must first identify the given variables and equations that apply to the problem. Then, use these equations to calculate the unknown variables and determine the behavior of the system.

3. What are the key principles involved in a Conceptual Spring SHO problem?

The key principles involved in a Conceptual Spring SHO problem are simple harmonic motion, Hooke's Law, and conservation of energy. These principles describe the oscillatory motion of the mass-spring system and the relationship between the displacement and force of the spring.

4. What are some real-world applications of Conceptual Spring SHO problems?

Conceptual Spring SHO problems have many real-world applications, including in engineering, robotics, and seismology. They are also used to study the motion of molecules and atoms, and in the design of musical instruments and suspension systems for vehicles.

5. What are some common mistakes made when solving a Conceptual Spring SHO problem?

Some common mistakes made when solving a Conceptual Spring SHO problem include using the wrong equations, forgetting to consider the direction of the force or displacement, and not properly converting between units. It is also important to pay attention to the given conditions and assumptions of the problem, as these can affect the solution.

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