The homogeneous sphere of mass m and radius r is projected along the incline of angle Θ...

The homogeneous sphere of mass m and radius r is projected along the incline of angle Θ with an initial speed v₀ and no angular velocity (ω₀ = 0). If the coefficient of kinetic friction is μ_k, determine the time duration t of the period of slipping. In addition, state the velocity v of the mass center G and the angular velocity ω at the end of the period of slipping.