Question

Conceptual Example 13 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg · m². When one person is standing on the carousel at a distance of 1.5 m from the center, the carousel has an angular velocity of 0.6 rad/s. However, as this person moves inward to a point located 0.734 m from the center, the angular velocity increases to 0.8 rad/s. What is the person's mass?

Answer 1

SemMoment of inentiaf arousel 125 Initial nadius, Reae AHo radius Rat Betere angularr Velocity wee 06ad/s After angulare Velocity Wat 0'8 ad/s Let, The mass of The man z M Ftam he conservaton of Angular momentum Leeiere LAtter Ie WBe LA WAf le leat MRe 1C tMRt 7(Icat MKe)wae -(Icat MR t IA We+ M Ree ee 5 m 013 4 m lea ay+MRWnt len At-lca ee CRee ee- R W 1250.8 125 06 (15) (734)8 M 2 25 25 O189 2 I35 O43 M 2 27 2 K