W = 50 #, rout = 2\'. rin = 1spring constant for top spring = 3 #/ft. spring con

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W = 50 #, rout = 2'. rin = 1spring constant for top spring = 3 #/ft. spring constant for lower spring = 1 #/ft. Radius of gyration about the mass center kG = 1.5'. The wheel is initially rotated 0.2 rad and is released from rest. It rolls without slipping. First derive the equation of motion using Newton's Laws. ( + 5.549 = 0). Then find: Natural period. Does this vary with initial conditions? (2.67 s) Natural frequency. Does this vary with initial conditions? (0.375 Hz) Phase angle. Does this vary with initial conditions? (pi/2) Position 0 as a function of time using BOTH solutions to the differential equation of motion. ( theta = 0.2cos(2.35t) OR theta = 0.2sin(2.35t + pi2)) Maximum positive displacement and first time which it occurs. (0.2 rad. 0 Maximum positive velocity and first time which it occurs. (0.47. 2.01 s) Maximum negative velocity and first time which it occurs. (0.668 s)

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