A flat uniform circular disk (radius = 4.91 m, mass = 400 kg) isinitially statio

Question

A flat uniform circular disk (radius = 4.91 m, mass = 400 kg) isinitially stationary. The disk is free to rotate in the horizontalplane about a frictionless axis perpendicular to the center of thedisk. A 56.0-kg person, standing 1.21 m from the axis, begins torun on the disk in a circular path and has a tangential speed of2.20 m/s relative to the ground. Find the resulting angular speed(in rad/s) of the disk.

Number

Units

The number of significant digits is set to 3; the toleranceis +/-2%

Chapter 9, Problem 54

Explanation / Answer

Given :    Mp = 56.0 kg    Rp = 1.21 m Md = 400 kg Rd = 4.91 vp = 2.20 m/s from the given problem the conservation of angularmomentum applies along the axis then    Id d +Mp Rp2 p =0    but we know that     = v / r    p = vp /rp    the moment of inertia of the disk willbe    Id = (1 / 2) MdRd2    substitute and solve for    d = .......... rad /s Solve it I hope it helps you    Id d +Mp Rp2 p =0    but we know that     = v / r    p = vp /rp    the moment of inertia of the disk willbe    Id = (1 / 2) MdRd2    substitute and solve for    the moment of inertia of the disk willbe    Id = (1 / 2) MdRd2    substitute and solve for    d = .......... rad /s Solve it I hope it helps you

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