Calculating Static Spring Deflection in Basic Harmonic Motion

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SUMMARY

The discussion focuses on calculating the static spring deflection of a 10kg mass suspended from a spring with a spring constant (K) of 2.5 kN/m. The initial downward velocity of the mass is 0.5 m/s as it passes through the static equilibrium position. To determine the static spring deflection, one must first calculate the force exerted by the mass using the equation F = m * g, where g is the acceleration due to gravity (approximately 9.81 m/s²). This force can then be used to find the deflection by applying Hooke's Law, which states that the force exerted by a spring is proportional to its deflection.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Basic knowledge of forces and Newton's second law (F = m * a)
  • Familiarity with gravitational acceleration (g = 9.81 m/s²)
  • Ability to perform basic trigonometric calculations
NEXT STEPS
  • Calculate the force exerted by the mass using F = m * g
  • Apply Hooke's Law to find the static deflection: Δx = F / K
  • Explore the concepts of kinetic energy (KE) and potential energy (PE) in oscillating systems
  • Investigate the dynamics of harmonic motion and its equations of motion
USEFUL FOR

Students and professionals in physics, mechanical engineering, and anyone interested in understanding the principles of harmonic motion and spring mechanics.

Leiws25
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A 10kg mass is suspended from a spring which has a constant K = 2.5kn/m. At time t=0, it has a downward velovcity of 0.5m/s as it passes through the position of static equilibrium. Determine the static spring deflection.


I believe i first need to calculate the force which requires basic trig. However I am unsure how to do that. I really just need some pointers in the right direction. Thanks in advance!
 
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Hint on how I'd do it... An oscillating spring trades KE and PE.
 

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