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A guys spinning on a chair has mass dropped on him
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[QUOTE="collinsmark, post: 4588569, member: 114325"] Great! :smile: So now what you might want to do is model the moment of inertia of a guy sitting in the chair. (perhaps model it by a couple of cylinders and use the [I]parallel axis theorem[/I]). Then plug some ballpark numbers in. Is the moment of inertia of the beanbag significant? That's a good idea. Considering the problem by modeling a spinning wheel is easier than modeling a guy on a chair. But you can answer this question for yourself. :wink: [LIST=1] [*]Find the angular momentum of a stationary ball plus the angular momentum of a spinning wheel. Assume the wheel is spinning at angular velocity [I]ω[/I][SUB]0[/SUB]. Call the angular momentum of the system [I]L[/I][SUB]0[/SUB]. [*]Find the moment of inertia of the same wheel plus the spherical ball attached at its center, where the ball's mass is half that of the wheel. (You'll still have to decide on the relationship between the ball's radius and the wheel's radius.) Call the moment of inertia of this new wheel-ball system, [I]I[/I][SUB]1[/SUB]. [*]Invoke conservation of angular momentum, such that the new angular momentum is [I]L[/I][SUB]1[/SUB] = [I]L[/I][SUB]0[/SUB]. [*]Divide [I]L[/I][SUB]1[/SUB] by [I]I[/I][SUB]1[/SUB] to find the new angular velocity, [I]ω[/I][SUB]1[/SUB]. [/LIST] Plug some typical numbers in. How does [I]ω[/I][SUB]1[/SUB] compare to [I]ω[/I][SUB]0[/SUB] for typical values? [Edit: And what happens as the ratio of the ball's radius to the wheel's radius approaches zero? ([I]R[/I][SUB]ball[/SUB]/[I]R[/I][SUB]wheel[/SUB] → 0)] [/QUOTE]
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A guys spinning on a chair has mass dropped on him
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