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!
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!
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd05bf4f1-cea9-4a78-a441-bd4f2f3ab70c%2F9b9c7e9e-654d-4e12-9a92-c85cbc434711%2F99jbqkb_processed.jpeg&w=3840&q=75)
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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