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A) Homework week 3-2 Q1. The center of the disk in the figure is displaced a distance 8 5 cm from its equilibrium position and released. Determine x(t)-A cos(ant + ?) if the disk rolls without slip. The area moment of inertia of disk is 10-2 mr2. Given m = 10 kg, k = 60 N/m, r 50 cm. (HINT: Derive the equation of motion first. The initial velocity is zero.) Thin disk no slip B) Q2. For the 1-DOF system shown, determine (a) the damping ratio (b) State whether the system is underdamped, critical damped or overdamped; (c) Determine ?(t) for the given initial conditions. Measure from equilibrium position, The equation of motion for this system is 1.1 50+ 1.5e+ 2.88 x103?-0 03kg 5 ig soke 2 x10 N 150N-

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