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A circular platform of radius R p = 5.35 m and mass M p = 387 kg rotates on fric

ID: 1374676 • Letter: A

Question

A circular platform of radius Rp = 5.35 m and mass Mp = 387 kg rotates on frictionless air bearings about its vertical axis at 6.95 rpm. An 87.7-kg man standing at the very center of the platform starts walking (at t = 0) radially outward at a speed of 0.457 m/s with respect to the platform. Approximating the man by a vertical cylinder of radius Rm = 0.243 m, determine an equation (specific expression) for the angular velocity of the platform as a function of time.

What is the angular velocity when the man reaches the edge of the platform?

Explanation / Answer

I =

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