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7. A uniform ladder of mass (m) and length (L) leans against a frirtmnless wall, see figure. If the coefficient of static friction between the ladder and the ground is 0.50, what is the minimum angle (8) between the ladder and the floor at which the ladder will not slip? degrees 8. A mass m1 = 9.00 kg is connected by a light string that passes over a pulley of mass M = 11.5 kg to a mass m2 = 10.5 kg sliding on a horizontal frictionless surface (see fig'Ure). There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m2? (The moment of inertia of the pulley is VzMri.) _::lN 9. A mass m1 = 19.0 kg is connected by a light string that passes over a pulley of mass M = 11.5 kg to a mass m2 = 6.00 kg sliding on an inclined frictionless surface that makes an angle of 27 with the horizontal (See figure). There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system of masses? (The moment of inertia of the pulley is 1/2Mr3.) , l::::,-m_l m/S' 10. A 5.60-kilogram hoop starts from rest at a height 1.30 m above the base of an inclined plane and rolls down under the influence of gravity. What is the linear speed of the hoop's center of mass just as the hoop leaves the incline and rolls onto a horizontal surface? (Neglect friction.) m/s