Question: A mass m = 1 . 4 kgm = 1 . 4 kg hangs at the end of a vertical spring whose top end is

A mass m=1.4kgm=1.4kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k=55N/mk=55N/m and negligible mass. The mass undergoes simple harmonic motion when placed in vertical motion, with its position given as a function of time by y(t)=Acos(t)y(t)=Acos(t), with the positive y-axis pointing upward. At time t=0t=0 the mass is observed to be at a distance d=0.45md=0.45m below its equilibrium height with an upward speed of v0=5m/sv0=5m/s.
Find the angular frequency of the oscillation, in radians per second.

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