Calculating Static Spring Deflection in Basic Harmonic Motion

AI Thread Summary
To calculate the static spring deflection for a 10kg mass on a spring with a constant K of 2.5 kN/m, first determine the force exerted by the mass using F = mg, which equals 98.1 N. The static deflection can then be found using Hooke's Law, where the deflection (x) is calculated as x = F/K. This results in a static deflection of approximately 0.03924 meters or 39.24 mm. Understanding the relationship between kinetic and potential energy in harmonic motion can further aid in analyzing the system's behavior. The calculation of static spring deflection is essential for understanding the dynamics of oscillating systems.
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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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