a device consist of two disks attached to each other. the first one has radius 7

Question

a device consist of two disks attached to each other. the first one has radius 7.0cm and mass 17kg. the second one has radius 7.8cm and mass 30kg. the axis of rotation is through the center of the first and 1cm from the center of the second.
a) draw a picture of this device
b) what is the rotational inertia of the first disk through the given axis of rotation?
c) what is the rotational inertia of the second disk through the given axis of rotation?
d) what is the rotational inertia of the combination?

Explanation / Answer

Moment of Inertial of the Wheel ids given by I = MR^2

so for first disk,

I1 = 17* 0.07*0.07

I1 = 0.0833 Kgm^2

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Moment of Inertial of the Wheel ids given by I = MR^2

so for second disk,

I2 = 30* 0.078*0.078

I1 = 0.18252 Kgm^2

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MOI of combination = I1+I2

MOI =   0.0833 + 0.18252

MOI = 0.26582 Kgm^2

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