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5. (Target C6) A disk with a mass m and radius r is rotating counterclockwise at a speed wo. A hoop with a mass (1/4)m

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5. (Target C6) A disk with a mass m and radius r is rotating counterclockwise at a speed wo. A hoop with a mass (1/4)m and radius (2/3)r is set on top of the disk. Due to friction between the two, the hoop does not slip against the disk. What is their angular speed? 6. (Target M1) You are pushing a 50 kg crate of potatoes across the floor of a warehouse. Your friend is helping you by pulling on a rope attached to the crate. You are pushing parallel to the floor with a force of 75 N. Your friend is pulling up at a 20 angle to the horizontal, with a force of 50 N. The crate is moving at a constant speed. (a) Draw a free body diagram showing all the forces acting on the crate. (b) What is the magnitude of the normal force the floor exerts on the crate? (c) What is the magnitude of the force of friction the floor exerts on the crate

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