A block (mass = 2.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.1 x 10^-3 kg m^2) as the drawing shows. initially the pulley is prevented from rotating and the block is stationary. then the pulley is allowed to rotate as the block falls. the cord does not slip relative to the pulley as the block falls. assume that the radius of the cord around the pulley remains constant at a value of 0.04 meters during the blocks decent. find the angular acceleration of the pulley and the tension in the cord.
A block (mass = 2.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.1 x 10^-3 kg m^2) as the drawing shows. initially the pulley is prevented from rotating and the block is stationary. then the pulley is allowed to rotate as the block falls. the cord does not slip relative to the pulley as the block falls. assume that the radius of the cord around the pulley remains constant at a value of 0.04 meters during the blocks decent. find the angular acceleration of the pulley and the tension in the cord.
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 74PQ
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Transcribed Image Text:A block (mass = 2.0 kg) is hanging from a massless
cord that is wrapped around a pulley (moment of inertia
= 1.1 x 10^-3 kg m^2) as the drawing shows. initially
the pulley is prevented from rotating and the block is
stationary. then the pulley is allowed to rotate as the
block falls. the cord does not slip relative to the pulley as
the block falls. assume that the radius of the cord
around the pulley remains constant at a value of 0.04
meters during the blocks decent. find the angular
acceleration of the pulley and the tension in the cord.
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