# Two discs connected by a stiff spring

• alindao
In summary, we have two identical discs connected by a stiff spring, forming a harmonic oscillator system. If the top disc is pushed down and released, the system may be able to leave the ground, and the spring will be either pushing or pulling on the discs during the motion. The forces causing the system to leave the ground could be either spring force or ground normal force. To calculate the tension in the spring, we need to know the separation between the two discs. If the tension exceeds the gravitational force, the system may experience a different type of motion.
alindao
two identical discs are connected by a stiff spring. if you push down on the top disc then release, will the system be capable of leaving the ground? if so, how high? what exactly is the spring doing (in terms of pushing or pulling on either disc) during the motion? what force(s) cause the system to leave the ground- spring force or ground normal force?

alindao said:
two identical discs are connected by a stiff spring. if you push down on the top disc then release, will the system be capable of leaving the ground? if so, how high? what exactly is the spring doing (in terms of pushing or pulling on either disc) during the motion? what force(s) cause the system to leave the ground- spring force or ground normal force?
This system is a harmonic oscillator. Calculate the tension in the spring as a function of the separation between the two disks. What happens if the tension of the spring exceeds the gravitational force?

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## 1. What is a "Two discs connected by a stiff spring"?

A "Two discs connected by a stiff spring" is a physical system consisting of two discs or objects that are connected by a spring with high stiffness or rigidity. This system is commonly used in physics experiments to study oscillatory motion and energy transfer.

## 2. How does the stiffness of the spring affect the system?

The stiffness of the spring affects the system by determining the frequency of oscillation and the amount of energy stored in the system. A stiffer spring will result in a higher frequency and greater energy transfer between the discs, while a less stiff spring will have a lower frequency and less energy transfer.

## 3. What is the relationship between the two discs in this system?

The two discs in this system are connected by the spring, which acts as a restoring force. This means that when one disc is displaced from its equilibrium position, the spring will exert a force that will cause the discs to oscillate back and forth in opposite directions.

## 4. How is the motion of the discs affected by the initial conditions?

The initial conditions, such as the initial displacement and velocity of the discs, will determine the amplitude and phase of the oscillations. The motion of the discs will also be affected by any external forces or friction present in the system.

## 5. What are some real-life applications of a "Two discs connected by a stiff spring" system?

This type of system can be found in various real-life applications, such as shock absorbers in cars, pendulum clocks, and even in biological systems like the inner ear. It is also commonly used in engineering to study vibrations and resonance in structures and machines.

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