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 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 0=0°. The spring's length at the state 2 is L2=4 m. _(kg-m²) (two decimal (9) The mass moment of inertial about the IC center is IIC=_ places) L₂ State 2 State 1

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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 8-30°. The wheel rolls
without slipping and passes the position at the state 2 when the angle is 0=0°. The spring's
length at the state 2 is L2=4 m.
_(kg-m²) (two decimal
(9) The mass moment of inertial about the IC center is IIC=_
places)
L₂
State 2
State 1
Transcribed Image Text: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 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 0=0°. The spring's length at the state 2 is L2=4 m. _(kg-m²) (two decimal (9) The mass moment of inertial about the IC center is IIC=_ places) L₂ State 2 State 1
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Introduction:

Moment of inertia is counterpart of inertia in rotational motion. In translational motion inertia is only dependent on mass. But in rotational motion, it depends on mass as well as distribution of that mass about the axis of rotation. We know that the moment of inertia is given as

I=mk2

Where m,k are mass of body and radius of gyration respectively.

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