A less than critically damped harmonic oscillator has a mass m = 0.3000 kg, a force constant k = 98.00 N m⁻¹, and a friction constant ζ = 1.000 kg s⁻¹.
(a) Find the circular frequency of oscillation ω and compare it with the frequency that would occur if there were no damping.
(b) Find the time required for the real exponential factor in the solution to drop to one-half of its value at t = 0.