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A disc of mass m and radius R is attached to a rectangular plate of the same mass breadth R and length 2R . Find moment of inertia of this system about diameter of of disc.They are attached about thier ends

A disc of mass m and radius R is attached to a rectangular plate of the same mass breadth R and length 2R . Find moment of inertia of this system about diameter of of disc.They are attached about thier ends 

Grade:12

2 Answers

FITJEE
43 Points
8 years ago

NORMAL  METHOD

THE TWO RULES.

Vaibhav sharma
13 Points
4 years ago
Moment of inertia of disc along its diameter will be 1/4(Mr^2)Now inertia of rectangular plate along its breadth (r)= say dIdI=dm(r^2)/12Integrating both sides givesI=Mr^2/12Now applying parellel axis theorm:Ip=I(rectangular plate along breadth) + M(3r/2)^2 (where 3r/2 is distance of axis from center of rectangular plate to where inertia is required)Ip=Mr^2/12 + 9Mr^2/4 Total inertia required = Mr^2/4 + Ip That is; Mr^2/4 +Mr^2/12 + 9Mr^2/4= 31Mr^2/12 required inertia...

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