CP A large turntable with radius 6.00 m rotates about a fixed vertical axis, making one revolution in 8.00 s. The moment of inertia of the turntable about this axis is 1200 kg · m2. You stand, barefooted, at the rim of the turntable and very slowly walk toward the center, along a radial line painted on the surface of the turntable. Your mass is 70.0 kg. Since the radius of the turntable is large, it is a good approximation to treat yourself as a point mass. Assume that you can maintain your balance by adjusting the positions of your feet. You find that you can reach a point 3.00 m from the center of the turntable before your feet begin to slip. What is the coefficient of static friction between the bottoms of your feet and the surface of the turntable?
CP A large turntable with radius 6.00 m rotates about a fixed vertical axis, making one revolution in 8.00 s. The moment of inertia of the turntable about this axis is 1200 kg · m2. You stand, barefooted, at the rim of the turntable and very slowly walk toward the center, along a radial line painted on the surface of the turntable. Your mass is 70.0 kg. Since the radius of the turntable is large, it is a good approximation to treat yourself as a point mass. Assume that you can maintain your balance by adjusting the positions of your feet. You find that you can reach a point 3.00 m from the center of the turntable before your feet begin to slip. What is the coefficient of static friction between the bottoms of your feet and the surface of the turntable?
CP A large turntable with radius 6.00 m rotates about a fixed vertical axis, making one revolution in 8.00 s. The moment of inertia of the turntable about this axis is 1200 kg · m2. You stand, barefooted, at the rim of the turntable and very slowly walk toward the center, along a radial line painted on the surface of the turntable. Your mass is 70.0 kg. Since the radius of the turntable is large, it is a good approximation to treat yourself as a point mass. Assume that you can maintain your balance by adjusting the positions of your feet. You find that you can reach a point 3.00 m from the center of the turntable before your feet begin to slip. What is the coefficient of static friction between the bottoms of your feet and the surface of the turntable?
Six, small, identical putty each weighing 2.25 [kg], are placed on the corners of a massless, uniform and flat piece of wood shaped as a regular hexagon with side length 1.20 [m]. What is this system's moment of inertia if the system is made to rotate about an axis perpendicular and passing through
A. the wood's geometric center?
B. one of the corners of the wood?
A 129 kg129 kg horizontal platform is a uniform disk of radius 1.89 m1.89 m and can rotate about the vertical axis through its center. A 63.9 kg63.9 kg person stands on the platform at a distance of 1.17 m1.17 m from the center, and a 28.7 kg28.7 kg dog sits on the platform near the person 1.43 m1.43 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.
A small stone with mass m1 = 4 kg is glued at distance r1 = 0.4 m from the center of a uniform plate with mass m2 = 4 kg, radius r2 = 1.4 m.
The system is rotating around the center of the plate. Find the total moment of inertia of the system. Answer in [kg m2]
Chapter 10 Solutions
University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e
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