A disk with radius R and mass m begins from rest and then moves without slipping while being pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after T seconds is v = 2PT/3m. (Hint: use both linear and angular-impulse principles.) m R P ¹The radius of gyration has units of length and is related to the inertia by k = Ic/m. It corresponds to the distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r the convention is to define the radus of gyration with the symbol k.
A disk with radius R and mass m begins from rest and then moves without slipping while being pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after T seconds is v = 2PT/3m. (Hint: use both linear and angular-impulse principles.) m R P ¹The radius of gyration has units of length and is related to the inertia by k = Ic/m. It corresponds to the distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r the convention is to define the radus of gyration with the symbol k.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![A disk with radius R and mass m begins from rest and then moves without slipping while being
pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after
T seconds is v= 2PT/3m. (Hint: use both linear and angular-impulse principles.)
m
REG
P
¹The radius of gyration has units of length and is related to the inertia by k = IG/m. It corresponds to the
distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid
body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r
the convention is to define the radus of gyration with the symbol k.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd23cf25f-e0e1-420e-8dcb-8ea8662c7deb%2Fc7c31519-a13a-4833-a465-773def4207f4%2Ft5p9k5i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A disk with radius R and mass m begins from rest and then moves without slipping while being
pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after
T seconds is v= 2PT/3m. (Hint: use both linear and angular-impulse principles.)
m
REG
P
¹The radius of gyration has units of length and is related to the inertia by k = IG/m. It corresponds to the
distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid
body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r
the convention is to define the radus of gyration with the symbol k.
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