An object of mass 0.2 kg is hung from a spring whose spring constant is 80 N/m. The object is subject to a resistive for

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An Object Of Mass 0 2 Kg Is Hung From A Spring Whose Spring Constant Is 80 N M The Object Is Subject To A Resistive For 1 (52.63 KiB) Viewed 10 times

An object of mass 0.2 kg is hung from a spring whose spring constant is 80 N/m. The object is subject to a resistive force given by - bx, where x is its velocity in meters per second and b = 4 Nm¯¹sec. (a) Set up differnetial equation of motion for free oscillations of the system and find the period of such oscillations. (b)The object is subjected to a sinusoidal driving force given by F(t) = Få sin(wt), where F = 2 N and w = 30 sec¯¹. In the steady state, what is the amplitude of the forced oscillation? (c) Find Q for the system - is the system underdamped, overdamped or critically damped? (d) What is the mean power input? (e) What is the energy disspated against the resistive force in one cycle.