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Part A A light rope is wrapped several times around a large wheel with a radius of 0.365 m. The wheel rotates on frictionless bearings
Part A A light rope is wrapped several times around a large wheel with a radius of 0.365 m. The wheel rotates on frictionless bearings about a stationary horizontal axis, as shown in the figure (Figure 1). The free end of the rope is tied to a Calculate the angular velocity of the wheel when the suitcase reaches the ground. suitcase with a mass of 13.5 kg. The suitcase is released from rest at a height of Express your answer in radians per second. 4.00 m above the ground. The suitcase has a speed of 3.90 m/s when it reaches the ground. IVO AED ? W = rad/s Submit Request Answer V Part B Calculate the moment of inertia of the wheel. Express your answer in kilogram meters squared. AEQ ( : ] ? I = kg . m2 Submit Request AnswerV PartA What is the initial angular momentum of the system? On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.610 m from the axis of rotation of the stool. She is Express your asnwer in kilogram-meters squared per second. given an angular velocity of 2.80 rad/s , after which she pulls the dumbbells in until they are only 0.235 m distant from the axis. The woman's moment of inertia about the axis of rotation is 5.10 kg - m2 and may be considered constant. Each dumbbell has a mass of 4.55 kg and may be considered a point mass. Neglect friction. L = kg - m2 /s in the direction of the motion For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of yone can be a ballerina. Muest Answer V PartB What is the angular velocity of the system after the dumbbells are pulled in toward the axis? Express your answer in radians per second. rad/s w = Muest Answer v Partc Compute the kinetic energy of the system before the dumbbells are pulled in. Express your answer in joules. K = Muest Answer Part D Compute the kinetic energy of the system after the dumbbells are pulled in. Express your answer in joules. VO AEQ K = Submit Request AnswerPart A A small block on a frictionless horizontal surface has a Is angular momentum conserved? mass of 0.0200 kg. It is attached to a massless cord passing through a hole in the surface. (See the figure Yes below (Figure 1).) The block is originally revolving at a distance of 0.310 m from the hole with an angular speed O No of 2.00 rad/s. The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.140 m. You may treat the block as a particle. Submit Request Answer Part B Complete previous part(s) Part C What is the new angular speed? Express your answer in radians per second. FOX ? W= rad/s Submit Request Answer Part D Find the change in kinetic energy of the block. Express your answer in joules.
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