pls explain

Asked by sulaikhasulu393 | 18th Jun, 2020, 11:50: PM

Expert Answer:

Two identical rings each of mass m with their planes mutually perpendicular
I f space y o u space o b s e r v e space t h e space d i a g r a m space y o u space w i l l space s e e space t h a t space t h e space a x i s space o f space f i r s t space r i n g space i s space a l o n g space z minus a x i s comma space

M o m e n t space o f space i n e r t i a space o f space f i r s t space r i n g space a b o u t space t h e space p o i n t space P space i s space g i v e n space a s comma space
open parentheses I subscript 1 close parentheses subscript 2 space equals space m r squared space thin space plus m r squared space equals space 2 m r squared space
B y space P a r a l l e l space minus a x i s space t h e o r e m comma space
I subscript x space equals I subscript z plus I subscript y space
2 I subscript y space equals space I subscript x space equals space m r squared
I subscript y space equals space fraction numerator m r squared over denominator 2 end fraction space a n d space I subscript z space equals space fraction numerator m r squared over denominator 2 end fraction
F o r space s e c o n d space r i n g space t h e space a x i s space i s space p a s sin g space a l o n g space x space minus a x i s
open parentheses I subscript 2 close parentheses subscript P space equals open parentheses I subscript z close parentheses plus m left parenthesis 3 r squared right parenthesis
equals space fraction numerator m r squared over denominator 2 end fraction space plus space 3 m r squared space
T o t a l space m o m e n t space i n n e r t i a space o f space s y s t e m comma space
I space space equals space 2 m r squared space plus space fraction numerator m r squared over denominator 2 end fraction plus 9 m r squared space equals space 11.5 space m r squared
 
Thus, correct option is d)

Answered by Shiwani Sawant | 19th Jun, 2020, 11:28: PM