part a asks for w (small omega) bottom, not velocity. How do I find that. In arder for an object to rull smoothly (with constant angular acceleration) down a ramp, it must have either spherical orcylindrical symmetry. Consider spherically and cylindrically symmatric objects with mas Mand cuter radius Rrollingwithout slipping down an incline of height h and angle e from the horizcntal. The rotational inertias of such objects canbe writtem in the genralised form: /- cMR", uhere cis a shape factor whose valar depends cn the gecmetry of theobject. (f you look at thr lable of rotational inertias in ther testhook you'l br able to se that this is truc.)(For this questin, cnider M. R., 0, md gan the givn quantities-espres your aners in ler of eal of these quantities. Sinplijy yoar ansra a ack an you can.)If the object starts from rest at the very top of the ramp before rolling freely downthe ramp without slipping, find the object's (linear) rotational speed at the botom of theramp. (Hint ase coseroation of energy

Given information: The mass of the object = M The radius of the object = R The height of the incline…

In ander for an object to rull smoothly (with constant angular acceleration) down a ramp, i must have either spherical or gylindrical symmetry. Consider spherically and cylindrically symmatric objects with mass M and outer radius Rrolling without slipping down an incline of height h and angle e frum the horiscntal. The rotational inertias of such objects can be writtem in the gemralined form: I- cMR", uhere cis a shape factor whose valae depemds on the geometry of the object. (f yeu lock at thr lable of rotational inertim in ther testhoek you'l be able to se that thin in trac) (For this questim, cmider M. Rk, md ga the gin quantities -apres ger amers in er of me all of these guantition. Sinplijy yoar ara a ack an you can.) If the object starts from sest at the very top of the ramp before rolling frvely down the ramp without slipping, find the object's (linear) rotational speed at the botom of the ramp. (Hint ase caseration of emergg

In ander for an object to rull smoothly (with constant angular acceleration) down a ramp, i must have either spherical or gylindrical symmetry. Consider spherically and cylindrically symmatric objects with mass M and outer radius Rrolling without slipping down an incline of height h and angle e frum the horiscntal. The rotational inertias of such objects can be writtem in the gemralined form: I- cMR", uhere cis a shape factor whose valae depemds on the geometry of the object. (f yeu lock at thr lable of rotational inertim in ther testhoek you'l be able to se that thin in trac) (For this questim, cmider M. Rk, md ga the gin quantities -apres ger amers in er of me all of these guantition. Sinplijy yoar ara a ack an you can.) If the object starts from sest at the very top of the ramp before rolling frvely down the ramp without slipping, find the object's (linear) rotational speed at the botom of the ramp. (Hint ase caseration of emergg

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 15PQ

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