slides mr² 2. A cylinder of mass m, radius r, and rotational inertia without rolling along a flat, frictionless surface with speed vo. At time t = O the object enters a region with friction (with coefficients μk and μs). Initially the cylinder slips relative to the surface, but eventually it begins to roll. Set t = 0 when the object enters the region with friction. (a) After the object enters the region with friction, but before it begins rolling without slipping, what is v(t)? (b) After the object enters the region with friction, but before it begins rolling without slipping, what is w(t)? (c) What relationship between v and a corresponds to the beginning of rolling without slipping? (d) When does the transition to rolling without slipping occur? (e) After the object begins rolling without slipping, what are v(t) and w(t)?

slides mr² 2. A cylinder of mass m, radius r, and rotational inertia without rolling along a flat, frictionless surface with speed vo. At time t = O the object enters a region with friction (with coefficients μk and μs). Initially the cylinder slips relative to the surface, but eventually it begins to roll. Set t = 0 when the object enters the region with friction. (a) After the object enters the region with friction, but before it begins rolling without slipping, what is v(t)? (b) After the object enters the region with friction, but before it begins rolling without slipping, what is w(t)? (c) What relationship between v and a corresponds to the beginning of rolling without slipping? (d) When does the transition to rolling without slipping occur? (e) After the object begins rolling without slipping, what are v(t) and w(t)?

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 17PQ: Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described...

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Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?
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