john ambrose Thread starter Sep 25, 2017 #1 At what point will weight have a diminishing effect on increasing MOI with a given size remaining the same?
At what point will weight have a diminishing effect on increasing MOI with a given size remaining the same?
john ambrose Sep 25, 2017 #3 If an object was a ring 6" in diameter at what weight would the MOI reach a level where adding additional weight to the ring would not increase the MOI to any large amount?
If an object was a ring 6" in diameter at what weight would the MOI reach a level where adding additional weight to the ring would not increase the MOI to any large amount?
Marc Rindermann Gold Member Messages 31 Reaction score 12 Sep 25, 2017 #4 mass is linear in moment of inertia, so there is no diminishing effect.
jtbell Staff Emeritus Science Advisor Homework Helper 2025 Award Messages 16,110 Reaction score 8,475 Sep 26, 2017 #5 Moment of inertia of a hoop (or ring, or cylinder) around its central axis: http://hyperphysics.phy-astr.gsu.edu/hbase/ihoop.html
Moment of inertia of a hoop (or ring, or cylinder) around its central axis: http://hyperphysics.phy-astr.gsu.edu/hbase/ihoop.html
john ambrose Sep 26, 2017 #6 so if an object is 1' wide and 50 lbs and the MOI = X , if an additional 50 lbs is added for a total of 100 lbs the new MOI would be twice as high?
so if an object is 1' wide and 50 lbs and the MOI = X , if an additional 50 lbs is added for a total of 100 lbs the new MOI would be twice as high?
Marc Rindermann Gold Member Messages 31 Reaction score 12 Sep 26, 2017 #7 if the shape of the object and the distribution of mass remains the same then yes, twice the mass doubles the moi
if the shape of the object and the distribution of mass remains the same then yes, twice the mass doubles the moi