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
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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.
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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