Spring Oscillations: Foreign Mass Hits Attached Mass

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SUMMARY

When a foreign mass collides with a mass attached to a spring and adheres to it, the system oscillates as if it were a single larger mass. The conservation of momentum principle applies, represented by the equation m1v1 = m2v2, where m1 and m2 are the masses involved. The resulting oscillation pattern is determined by the combined mass and the spring constant, leading to a new equilibrium position. This behavior is analogous to two cars colliding, where both masses are displaced and begin to oscillate together.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the principles of momentum conservation
  • Basic knowledge of harmonic motion and spring dynamics
  • Concept of mass-spring systems in physics
NEXT STEPS
  • Study the equations governing momentum conservation in collisions
  • Explore the dynamics of mass-spring systems using Hooke's Law
  • Investigate the effects of varying spring constants on oscillation patterns
  • Learn about energy transfer in elastic and inelastic collisions
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of oscillating systems and collision mechanics.

dexterbla
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when a foregn mass hits a mass attached to a spring and sticks to it, how does the springg osscilate?
 
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it oscillates as if it had one big mass displaced...m1v1 =
m2v2...

How do two cars act if one is parked (stationary) and another crashes into it...they both are displaced...
 
yea.., it will displace it and then start osscilating. what will be the pattern of the new displacement? the second mass STICKS to the first one after hitting
 

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