MM1.5mmMm = 2kg.M = 3.5kga) justify whether the moment of inertia about thevertical or horizontal axis have smaller value. Show yourcalculation.(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 hollowcylinder of mass 10 kg including people on the stationand a radius of 100 m. Given initial angular velocity of3.3rpm in order to generate artificial gravity. If 100.people, each with an average mass of 65 kg spacewalkto 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 arotating merry-go-round to the center. What happendto the angular velocity of the merry-go-round does itincrease, decrease, or remain the same? By using theconservation of angular momentum, explain youranswer qualitatively..A large train has wheels with a radius of 35.0 cm. Thetrain starts from rest and provides its wheels with anangular acceleration of 0.250 rad s^-2. After the wheelshave made 200 revolutions, calculate(a) how much the train's wheels have rotated (in radians).(b) the linear velocity of a point located halfway betweenthe center and the outer edge of the wheel at this finalstate

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

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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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

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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