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?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.72P
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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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