### What is the angular speed of the lazy susan

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Q1. A 15.0 m uniform ladder weighing 500 N rests against a frictionless wall. The ladder makes a 60.0 angle with the horizontal. (a) Find out the horizontal and vertical forces the ground exerts on the base of the ladder when an 800 N fire-fighter is 4.00m from the bottom. (b) If the ladder is just on the verge of slipping while the fire-fighter is 9.00m up, what is the coefficient of static friction between ladder and ground?

Q2. A Texas cockroach of mass 0.232 kg runs counter clockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 10.70 cm, rotational inertia 4.37 x 10-3 kg•m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 3.00 m/s, and lazy Susan turns clockwise with angular velocity ω0 = 3.03 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. What is the angular speed of the lazy Susan after the cockroach stops?

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