A circular platform of radius Rp = 3.17 m and mass Mp = 421 kg rotates on fricti

Question

A circular platform of radius Rp = 3.17 m and mass Mp = 421 kg rotates on frictionless air bearings about its vertical axis at 4.13 rpm. An 89.1-kg man standing at the very center of the platform starts walking (at t = 0) radially outward at a speed of 0.327 m/s with respect to the platform. Approximating the man by a vertical cylinder of radius Rm = 0.247 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

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