bowl, whose inside surface has a radius AR. The sphere is intialy at an angle to the vertical, as meeasured from the canter of the hemisphere, and releaned from rest. (See figure below). R then rolle without slpping. what is the angular speed of the sphere when e reaches the bottam of the boet (Ue any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
bowl, whose inside surface has a radius AR. The sphere is intialy at an angle to the vertical, as meeasured from the canter of the hemisphere, and releaned from rest. (See figure below). R then rolle without slpping. what is the angular speed of the sphere when e reaches the bottam of the boet (Ue any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
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Transcribed Image Text:A uniform solid sphere of radius ris placed inside a hemispherical bowl, whose inside surface has a radius R. The sphere is initially at an angle to the vertical, as measured from the
conter of the hemisgphere, and released from rest. (See figura below). It then rolls without alipping. What in the angular speed of the sphere when it reaches the bottom of the hont? (e
any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
10PR(1.cos(0))
Can you apply conservation of energy? Can you choose an isolated system? What types of energy are changing What types of kinetic energy does the sphere have How ia the angular
speed related to the linear speed if the sphere ralls without sipping?
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