a) justify whether the moment of inertia about the vertical or horizontal axis have smaller value. Show your calculation.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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M
M
1.5m
m
M
m = 2kg.
M = 3.5kg
a) justify whether the moment of inertia about the
vertical or horizontal axis have smaller value. Show your
calculation.
(b) Given angular velocity of 80 rev s¹ in 240 rev.
Has a moment of inertia of 1.41x10-3 kg m2. Find:
(i) angular acceleration.
(ii) net constant torque must apply
(c) A space station consists of a giant rotating hollow
cylinder of mass 10 kg including people on the station
and a radius of 100 m. Given initial angular velocity of
3.3rpm in order to generate artificial gravity. If 100.
people, each with an average mass of 65 kg spacewalk
to an awaiting spaceship. Find the new angular velocity
(in rpm) once all the people are off the station.
(d) Suppose a child walks from the outer edge of a
rotating merry-go-round to the center. What happend
to the angular velocity of the merry-go-round does it
increase, decrease, or remain the same? By using the
conservation of angular momentum, explain your
answer qualitatively..
A large train has wheels with a radius of 35.0 cm. The
train starts from rest and provides its wheels with an
angular acceleration of 0.250 rad s^-2. After the wheels
have made 200 revolutions, calculate
(a) how much the train's wheels have rotated (in radians).
(b) the linear velocity of a point located halfway between
the center and the outer edge of the wheel at this final
state
Transcribed Image Text:M M 1.5m m M m = 2kg. M = 3.5kg a) justify whether the moment of inertia about the vertical or horizontal axis have smaller value. Show your calculation. (b) Given angular velocity of 80 rev s¹ in 240 rev. Has a moment of inertia of 1.41x10-3 kg m2. Find: (i) angular acceleration. (ii) net constant torque must apply (c) A space station consists of a giant rotating hollow cylinder of mass 10 kg including people on the station and a radius of 100 m. Given initial angular velocity of 3.3rpm in order to generate artificial gravity. If 100. people, each with an average mass of 65 kg spacewalk to an awaiting spaceship. Find the new angular velocity (in rpm) once all the people are off the station. (d) Suppose a child walks from the outer edge of a rotating merry-go-round to the center. What happend to the angular velocity of the merry-go-round does it increase, decrease, or remain the same? By using the conservation of angular momentum, explain your answer qualitatively.. A large train has wheels with a radius of 35.0 cm. The train starts from rest and provides its wheels with an angular acceleration of 0.250 rad s^-2. After the wheels have made 200 revolutions, calculate (a) how much the train's wheels have rotated (in radians). (b) the linear velocity of a point located halfway between the center and the outer edge of the wheel at this final state
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