A solid sphere (I = mr?) starts from rest at a height h and rolls down an incline of angle 0 without slipping. What is the linear speed v of the solid sphere once it reaches the bottom of the incline? Hint 1: If no slipping occurs, then the angular speed of the solid sphere and its linear speed are related by v = wr Hint 2: It is moving linearly (translating) and rotating!

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A solid sphere (I = mr?) starts
from rest at a height h and rolls down an
incline of angle 0 without slipping. What
is the linear speed v of the solid sphere
once it reaches the bottom of the
incline?
Hint 1: If no slipping occurs, then the
angular speed of the solid sphere and its
linear speed are related by v
= wr
Hint 2: It is moving linearly (translating)
and rotating!
V2gh
v =
10gh
v =
Vgh
v =
2gh
v =
V 5
Transcribed Image Text:A solid sphere (I = mr?) starts from rest at a height h and rolls down an incline of angle 0 without slipping. What is the linear speed v of the solid sphere once it reaches the bottom of the incline? Hint 1: If no slipping occurs, then the angular speed of the solid sphere and its linear speed are related by v = wr Hint 2: It is moving linearly (translating) and rotating! V2gh v = 10gh v = Vgh v = 2gh v = V 5
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