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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)
 one year ago
 one year ago
Yahoo! Group Title
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)
 one year ago
 one year ago

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Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
dw:1360169550988:dw
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
Obviously break down the problem rod by rod.
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
And if you're really stuck, you're just going to integrate rod by rod.
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
I (BC) = ma^2/6 ryt ?
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
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
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
Yup . i Have Calculated the length of rods BC = a/sqrt(2) , AC = a/sqrt(2) , DB = (sqrt2) * a / sqrt3
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
I (BC) = ma^2/6 ryt ?
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
I (DB) = ma^2/18 ?
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
won' that be (2/9)ma^2
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
dw:1360246728479:dw
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
I (DB) = M L^2 / 3 * sin^2 30 ryt ?
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
why sin ?
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
dw:1360246891927:dw
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
I don;t think angle matters
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
For calculation of I,
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
Because the axis is perpendicular to plane, the rod will make 90 degrees with the axis, doesn't matter how it is placed.
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
Do you have the final ans ?
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
Yup 25 M a^2 / 18
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
<Lets see if we get that by my method>
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
So DB = 2M a^2 /9
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
And AC = ma^2/6 + 3ma^2/6 = 2ma^2 /3
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
So sum = ma^2 (2/3 + 2/9 + 1/6) = 19/18ma^2
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
hmm, okay doesn't match
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
i think that angle matters
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
Wait I missed AB
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
AB = ma^2 /3 Sum = 25/18
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
Got it! B
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
But Hw Did u Claculate I (AC) ??
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
calculate about C, then B
 one year ago

Yahoo! Group TitleBest ResponseYou've already chosen the best response.0
Ok...got it....:)
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
"Angle will not matter here" ;)
 one year ago
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