8. The system shown consists of a spring, pulley and long slender rod of length L = 5 meters and mass m = 3 kg. There is

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8 The System Shown Consists Of A Spring Pulley And Long Slender Rod Of Length L 5 Meters And Mass M 3 Kg There Is 1 (172.23 KiB) Viewed 40 times

8. The system shown consists of a spring, pulley and long slender rod of length L = 5 meters and mass m = 3 kg. There is a spring with stiffness k = 250 N/m attached to the rod as shown in the diagram. The rope is being pulled by a force F(t). Ignore the mass of the pulleys. Assume that the system is in static equilibrium when the bar is horizontal (0 = 0) and F(t) = 0. Assume that the rope does not stretch and it does not go slack. Assume that oscillation amplitudes are very small. (a) Determine the amount of compression or extension of the spring, under static conditions when 0 = 0 and F(t)=0. (b) If F(t) =10 sin(21t), determine the maximum angular deflection max of the rod under steady state conditions. All quantities are expressed in SI units 18 = 9. = 9.81 m/s х L/2 L/2 k = 250 N/m F(t)