For the system shown in Fig. 1, the block has a mass of 1.52 kg and the force constant is 8.13 N/m. The frictional force is given by −bx˙, where b = 0.227 kg/s. Suppose that the block is pulled aside a distance 12.5 cm and released. (a) Compute ω0 = p k/m, γ, and ω1 numerically; this notation is KK. RHK4 denotes by ω 0 what KK labels ω0. Is the system overdamped, underdamped, or critically damped? (b) Calculate the time interval required for the amplitude to fall to one-third of its initial value. (c) How many oscillations (full oscillations, not radians) are made by the block in this time? (d) What b would make the system critically damped?

Vinícius Nunes , 5 Years ago

Grade 12th pass