To maximize the moment of inertia of a flywheel while minimizing its weight, what shape and distribution of mass should it have? Explain.
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To maximize the moment of inertia of a flywheel while minimizing
its weight, what shape and distribution of mass should it have?
Explain.
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- The photo shows a high-wire walker striding confidently along a steel cable stretched nearly half a kilometer above the bottom of a gorge in the Grand Canyon. If he tips slightly to the side, a gravitational torque will start to rotate his body even farther—which is clearly not good. To help him balance, he carries a long, heavy pole. This increases the moment of inertia, which results in a smaller angular acceleration, giving him more time to recover his balance.Model the man’s body as a 1.8-m-long, 88 kg, uniform rod. The pole is 9.1 m long, with a mass of 20 kg. What is the moment of inertia of his body? Of the pole?Two circular objects with the same radii and mass but different moments of inertia rol down a ramp. At the bottom of the ramp, the translational speed (a) of both disks will be the same (b) of the disk with the greater moment of inertia will be greater (c) of the disk with the greater moment of inertia will be smaller (d) not enough information to draw a conclusionPlease help: Find the moment of inertia of the wheel if the block rises to a height of h=6.9 cm before momentarily coming to rest. Express answer with two significant figures
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