1. Express the kinetic energy of the body rotating about an axis through its center of mass. II. Express the relationship between linear velocity and angular velocity. As shown in the figure, a spherical shell of mass M = 5 kg and radius R = 0.2 m rotates without friction on a vertical bearing. A light string wound on the equator of the spherical crust, after passing through a pulley with a moment of inertia / = 0.18 kg.m² and a radius of r = 0.3 m, was attached to an object of mass m = 2 kg that can fall freely under the effect of gravity. The object was initially at rest. It was then released to let the object fall. Using the principle conservation of energy, find its linear velocity after it falls through a height h = 1 m. (Assume the moment of inertia of the sphere to be MR³). M

1. Express the kinetic energy of the body rotating about an axis through its center of mass. II. Express the relationship between linear velocity and angular velocity. As shown in the figure, a spherical shell of mass M = 5 kg and radius R = 0.2 m rotates without friction on a vertical bearing. A light string wound on the equator of the spherical crust, after passing through a pulley with a moment of inertia / = 0.18 kg.m² and a radius of r = 0.3 m, was attached to an object of mass m = 2 kg that can fall freely under the effect of gravity. The object was initially at rest. It was then released to let the object fall. Using the principle conservation of energy, find its linear velocity after it falls through a height h = 1 m. (Assume the moment of inertia of the sphere to be MR³). M

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 60PQ

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