申論題

(3) (Please sce Fig. 3) The homogeneous sphere of mass m and radius r is projected along the incline of angleθ with an initial speed v₀ and no angular velocity (ω₀ = 0). If the coefficients of static and kinetic friction are μ_s and  μ_k, respectively, determine the time duration t of the period of slipping (10%). In addition, find the velocity v of the mass center G and the angular velocity ω at the end of the period of slipping.(7% and 8%, respectively)