At the instant shown, the disk D, which has mass m and radius of gyration kG, is rolling w...

At the instant shown, the disk D, which has mass m and radius of gyration kG, is rolling without slip down the flat incline with angular velocity ω0. The disk is attached at its center to a wall by a linear elastic spring of constant k. If, at the instant shown, the spring is unstretched, determine the distance d down the incline that the disk rolls before coming to a stop. Use k = 65 N/m, R = 0.3 m, m = 10 kg, kG = 0.25 m, ω0 = 60 rpm, and θ = 30°.

Figure P8.98