Two discs connected by a stiff spring

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SUMMARY

The discussion centers on a system of two identical discs connected by a stiff spring, analyzing whether the system can leave the ground when the top disc is pushed down and released. It is established that the system behaves as a harmonic oscillator, where the spring force plays a crucial role in the motion. If the tension in the spring exceeds the gravitational force acting on the discs, the system will indeed leave the ground. The dynamics of the spring during this motion involve both pushing and pulling forces on the discs.

PREREQUISITES
  • Understanding of harmonic oscillators
  • Knowledge of spring force calculations
  • Familiarity with gravitational force concepts
  • Basic physics of tension in springs
NEXT STEPS
  • Calculate the spring tension as a function of separation between the discs
  • Explore the principles of harmonic motion in mechanical systems
  • Investigate the conditions under which a system can leave the ground
  • Study the effects of varying spring constants on system dynamics
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of oscillatory systems and spring mechanics.

alindao
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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?
 
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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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