A hanging mass m = 84kg is released from rest and accelerates downward. The winding drum A of mass me = 60kg with aneffective diameter of d, = 410mm and a radius of inertia ka = 375mm meshes with gear B.Assume ws = 5wa, with subscript a related to the winding drum and ; to gear B.BAnalyse the frictionless system and calculate:The moment of Inertia of the drum Ig = maka = 8.4375|kgm?The linear acceleration a =3.906m/s/8The angular accelerations for the drum ag = 19.532rad/s/s as well as the gear s = 97.66rad/8/s (*)The tension in the cord FN.Assume an observation period of 4 s from the instant the system is released from rest and calculate the change of linear speed Av =m/s and linear distance the hung mass moves Ah =m (*)During the 4 8 observation, the following changes of energy with the correct sign can be computer: The tension in the cord F =N.Assume an observation period of 4 s from the instant the system is released from rest and calculate the change of linear speed Av =m/s and linear distance the hung mass moves Ah =m (*)During the 4 8 observation, the following changes of energy with the correct sign can be computer:• Ek =J (Kinetic energy) andJ (Potential Energy)The perfect, frictionless system described above is replaced with a realistic one with a gear efficiency of 94%.Analyse the impact of the efficiency of the dynamics of the system and calculate:The acceleration of the system under new conditions, a2 =m/8/8,the tension T =N andthe number of revolutions of the drum during the same period of observation of 4 sec: N =rev(*) - 0.5

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A hanging mass m = 84kg is released from rest and accelerates downward. The winding drum A of mass ma = 60kg with an effective diameter of da = 410mm and a radius of inertia ka = 375mm meshes with gear B. Assume ws = 5wa, with subscript a related to the winding drum and & to gear B.

A hanging mass m = 84kg is released from rest and accelerates downward. The winding drum A of mass ma = 60kg with an effective diameter of da = 410mm and a radius of inertia ka = 375mm meshes with gear B. Assume ws = 5wa, with subscript a related to the winding drum and & to gear B.

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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Question

A hanging mass m = 84kg is released from rest and accelerates downward. The winding drum A of mass me = 60kg with an
effective diameter of d, = 410mm and a radius of inertia ka = 375mm meshes with gear B.
Assume ws = 5wa, with subscript a related to the winding drum and ; to gear B.
B
Analyse the frictionless system and calculate:
The moment of Inertia of the drum Ig = maka = 8.4375
|kgm?
The linear acceleration a =
3.906
m/s/8
The angular accelerations for the drum ag = 19.532
rad/s/s as well as the gear s = 97.66
rad/8/s (*)
The tension in the cord F
N.
Assume an observation period of 4 s from the instant the system is released from rest and calculate the change of linear speed Av =
m/s and linear distance the hung mass moves Ah =
m (*)
During the 4 8 observation, the following changes of energy with the correct sign can be computer:

The tension in the cord F =
N.
Assume an observation period of 4 s from the instant the system is released from rest and calculate the change of linear speed Av =
m/s and linear distance the hung mass moves Ah =
m (*)
During the 4 8 observation, the following changes of energy with the correct sign can be computer:
• Ek =
J (Kinetic energy) and
J (Potential Energy)
The perfect, frictionless system described above is replaced with a realistic one with a gear efficiency of 94%.
Analyse the impact of the efficiency of the dynamics of the system and calculate:
The acceleration of the system under new conditions, a2 =
m/8/8,
the tension T =
N and
the number of revolutions of the drum during the same period of observation of 4 sec: N =
rev
(*) - 0.5

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