The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of thewheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m.The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at thestate 1 when the angle between the spring and the vertical direction is 0-30°. The wheel rollswithout slipping and passes the position at the state 2 when the angle is 8=0°. The spring'slength at the state 2 is L2=4 m.(kg-m²) (two(8) The mass moment of inertial about the mass center G is IG=decimal places)HILAIL₂State 2State 1

Answered: The wheel is attached to the spring.…

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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The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the
wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m.
The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the
state 1 when the angle between the spring and the vertical direction is 0-30°. The wheel rolls
without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's
length at the state 2 is L2=4 m.
(kg-m²) (two
(8) The mass moment of inertial about the mass center G is IG=
decimal places)
HILAI
L₂
State 2
State 1

Expert Solution

Step 1 Introduction of mass Moment of Inertia.

Consider 'k' be the radius of gyration of object rotating about a fixed axis of rotation and 'm' be the mass of the object. Then, mass Moment of Inertia of the body about its center of mass is given by

$I_{G} = m k^{2}$

$\to$ Mass Moment of Inertia is a tensor quantity having SI unit of $k g - m^{2} .$

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