An ideal cord (no mass and no elongation under load) is wrapped around a disc of radius r (r=50 cm, J=0,4 kgm2). The free end of the cord is connected to the mass of m=3kg. The disc is pin jointed and no friction is arisen at the pin. The cord does not slide on the disc and the system is at rest initially. When the system is released the mass, due to the gravity, starts acceleration a. to move with Find the acceleration of the mass, and the change in the linear momentum of the mass as well as in the angular momentum of the disc during 3 seconds. g=9.81 m/s?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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An ideal cord (no mass and no elongation
under load) is wrapped around a disc of
radius r (r=50 cm, J=0,4 kgm²). The free end
of the cord is connected to the mass of
m=3kg. The disc is pin jointed and no friction
is arisen at the pin. The cord does not slide
on the disc and the system is at rest initially.
When the system is released the mass, due
to the gravity, starts
a
to
move with
acceleration a.
Find the acceleration of the mass, and the
change in the linear momentum of the mass
as well as in the angular momentum of the
disc during 3 seconds. g=9.81 m/s²
Transcribed Image Text:An ideal cord (no mass and no elongation under load) is wrapped around a disc of radius r (r=50 cm, J=0,4 kgm²). The free end of the cord is connected to the mass of m=3kg. The disc is pin jointed and no friction is arisen at the pin. The cord does not slide on the disc and the system is at rest initially. When the system is released the mass, due to the gravity, starts a to move with acceleration a. Find the acceleration of the mass, and the change in the linear momentum of the mass as well as in the angular momentum of the disc during 3 seconds. g=9.81 m/s²
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