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plezz find out the m.o.i of l shaped rod at its end{perpendicular to length of rod}?mass m length lplezzz also find m.o.i at its cente of mass? is c.o.m lies at junction of 2 rod?

vijay kumar , 5 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 5 Years ago

Dear student
 
I am assuming its shape as L.
 
 

Lets first calculate the moment of inertia of the system about an axis passing through the common-point of one of the rods and perpendicular to the plane of the L 

Then the moment of inertia = 2*(ML2/3) (where ML2/3 is the moment of inertia of one rod about an axis passing about one of its endpoints)

Using Parallel Axis Theorm

Moment of Inertia of the sytem about an axis passing through the end-point of one of the rods and perpendicular to the plane of the L  

= I + Md(where d is the distance of the initail and final axis of rotation)

Here D= L (length of the rod)

then Moment of Inertia = 2(ML2)/3 + ((2M)L2) = 8(ML2)/3

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