anonymous
  • anonymous
Four rods of equal mass m each , Ab , BC , CA , DB are placed as shown. The moment of inertia of the system about B perpendicular to the plane ABC is (AB=a)
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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anonymous
  • anonymous
@JamesJ
JamesJ
  • JamesJ
Obviously break down the problem rod by rod.

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More answers

JamesJ
  • JamesJ
And if you're really stuck, you're just going to integrate rod by rod.
anonymous
  • anonymous
I (BC) = ma^2/6 ryt ?
shubhamsrg
  • shubhamsrg
Its basically a maths ques, you just need to find rod lengths, after doing that you just have to calculate moment of inertia of each rod about B and add all
anonymous
  • anonymous
Yup . i Have Calculated the length of rods BC = a/sqrt(2) , AC = a/sqrt(2) , DB = (sqrt2) * a / sqrt3
anonymous
  • anonymous
I (BC) = ma^2/6 ryt ?
shubhamsrg
  • shubhamsrg
yep
anonymous
  • anonymous
I (DB) = ma^2/18 ?
shubhamsrg
  • shubhamsrg
won' that be (2/9)ma^2
anonymous
  • anonymous
Hw ?
shubhamsrg
  • shubhamsrg
|dw:1360246728479:dw|
anonymous
  • anonymous
I (DB) = M L^2 / 3 * sin^2 30 ryt ?
shubhamsrg
  • shubhamsrg
why sin ?
anonymous
  • anonymous
|dw:1360246891927:dw|
shubhamsrg
  • shubhamsrg
I don;t think angle matters
shubhamsrg
  • shubhamsrg
For calculation of I,
shubhamsrg
  • shubhamsrg
Because the axis is perpendicular to plane, the rod will make 90 degrees with the axis, doesn't matter how it is placed.
shubhamsrg
  • shubhamsrg
Do you have the final ans ?
anonymous
  • anonymous
Yup 25 M a^2 / 18
shubhamsrg
  • shubhamsrg
shubhamsrg
  • shubhamsrg
So DB = 2M a^2 /9
shubhamsrg
  • shubhamsrg
And AC = ma^2/6 + 3ma^2/6 = 2ma^2 /3
shubhamsrg
  • shubhamsrg
So sum = ma^2 (2/3 + 2/9 + 1/6) = 19/18ma^2
shubhamsrg
  • shubhamsrg
hmm, okay doesn't match
anonymous
  • anonymous
i think that angle matters
shubhamsrg
  • shubhamsrg
Wait I missed AB
shubhamsrg
  • shubhamsrg
AB = ma^2 /3 Sum = 25/18
shubhamsrg
  • shubhamsrg
Got it! B|
anonymous
  • anonymous
But Hw Did u Claculate I (AC) ??
shubhamsrg
  • shubhamsrg
calculate about C, then B
anonymous
  • anonymous
Ok...got it....:)
shubhamsrg
  • shubhamsrg
"Angle will not matter here" ;)

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