Simple Harmonic Motion oscillations

AI Thread Summary
The discussion focuses on calculating the periodic time of oscillations for a mass-spring system performing simple harmonic motion (SHM). The mass is 0.49 kg, and the spring constant is 19.8 N/m. The relevant equation connecting the spring constant and angular frequency is k = mω², which helps derive the formula T = 2π/ω. The calculated periodic time T is approximately 0.988 seconds. Understanding these relationships is crucial for analyzing SHM in physics.
kingyof2thejring
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A 0.49 kg mass attached to a spring (k = 19.8 N m-1) is performing SHM on a smooth horizontal surface. Calculate the periodic time of these oscillations, in s.

what equation links with T=2pi/w to give T or how do i use a=-ky/m.
thanks in advance
 
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if
F=ma= m*d^2y/dx^2 = -m*w^2*y = -ky
i get T=0.988
 
The linking equation you're looking for is:

k = m\omega^2
 
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