Hello!!! Could you help me at the following exercise??
Prove that moving mass m underlying the action of linear spring constant k, has the form y (t) = Asin (wt + f), where t is time and A, w, f fixed. Interpret the physical significance of these constants and determine their prices if at the time t = 0, the mass is removed y0 and velocity v0. If in addition the mass subject to outdoor force F (t) = \(\displaystyle F_ {0} sin (w_ {0} t)\), amplitude \(\displaystyle F_ {0} \) and cyclic frequency \(\displaystyle w_ {0}\), calculate the amplitude of motion and investigate the dependence of the circular frequency \(\displaystyle w_ {0} \).
Prove that moving mass m underlying the action of linear spring constant k, has the form y (t) = Asin (wt + f), where t is time and A, w, f fixed. Interpret the physical significance of these constants and determine their prices if at the time t = 0, the mass is removed y0 and velocity v0. If in addition the mass subject to outdoor force F (t) = \(\displaystyle F_ {0} sin (w_ {0} t)\), amplitude \(\displaystyle F_ {0} \) and cyclic frequency \(\displaystyle w_ {0}\), calculate the amplitude of motion and investigate the dependence of the circular frequency \(\displaystyle w_ {0} \).
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