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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![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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4be976e6-c248-4f34-904a-832ac8e0867f%2Fd501a7f9-1d5e-4bd7-b108-d15876876800%2Flmdljmi_processed.png&w=3840&q=75)
Transcribed Image Text: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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4be976e6-c248-4f34-904a-832ac8e0867f%2Fd501a7f9-1d5e-4bd7-b108-d15876876800%2Fubgsxuk_processed.png&w=3840&q=75)
Transcribed Image Text: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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